epoger@google.com | ec3ed6a | 2011-07-28 14:26:00 +0000 | [diff] [blame] | 1 | /* |
| 2 | * Copyright 2006 The Android Open Source Project |
| 3 | * |
| 4 | * Use of this source code is governed by a BSD-style license that can be |
| 5 | * found in the LICENSE file. |
| 6 | */ |
| 7 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 8 | #include "SkFloatBits.h" |
mtklein | 567118f | 2016-04-14 14:07:02 -0700 | [diff] [blame] | 9 | #include "SkMatrix.h" |
| 10 | #include "SkNx.h" |
| 11 | #include "SkPaint.h" |
reed | 71c3c76 | 2015-06-24 10:29:17 -0700 | [diff] [blame] | 12 | #include "SkRSXform.h" |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 13 | #include "SkString.h" |
mtklein | ada3635 | 2014-06-02 10:59:35 -0700 | [diff] [blame] | 14 | #include <stddef.h> |
| 15 | |
reed | 451e822 | 2014-12-13 08:46:48 -0800 | [diff] [blame] | 16 | static void normalize_perspective(SkScalar mat[9]) { |
| 17 | // If it was interesting to never store the last element, we could divide all 8 other |
| 18 | // elements here by the 9th, making it 1.0... |
| 19 | // |
| 20 | // When SkScalar was SkFixed, we would sometimes rescale the entire matrix to keep its |
| 21 | // component values from getting too large. This is not a concern when using floats/doubles, |
| 22 | // so we do nothing now. |
| 23 | |
| 24 | // Disable this for now, but it could be enabled. |
| 25 | #if 0 |
| 26 | if (0 == mat[SkMatrix::kMPersp0] && 0 == mat[SkMatrix::kMPersp1]) { |
| 27 | SkScalar p2 = mat[SkMatrix::kMPersp2]; |
| 28 | if (p2 != 0 && p2 != 1) { |
| 29 | double inv = 1.0 / p2; |
| 30 | for (int i = 0; i < 6; ++i) { |
| 31 | mat[i] = SkDoubleToScalar(mat[i] * inv); |
| 32 | } |
| 33 | mat[SkMatrix::kMPersp2] = 1; |
| 34 | } |
| 35 | } |
| 36 | #endif |
| 37 | } |
| 38 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 39 | // In a few places, we performed the following |
| 40 | // a * b + c * d + e |
| 41 | // as |
| 42 | // a * b + (c * d + e) |
| 43 | // |
| 44 | // sdot and scross are indended to capture these compound operations into a |
| 45 | // function, with an eye toward considering upscaling the intermediates to |
| 46 | // doubles for more precision (as we do in concat and invert). |
| 47 | // |
| 48 | // However, these few lines that performed the last add before the "dot", cause |
| 49 | // tiny image differences, so we guard that change until we see the impact on |
| 50 | // chrome's layouttests. |
| 51 | // |
| 52 | #define SK_LEGACY_MATRIX_MATH_ORDER |
reed@android.com | ab7ac02 | 2009-09-18 13:38:43 +0000 | [diff] [blame] | 53 | |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame] | 54 | static inline float SkDoubleToFloat(double x) { |
| 55 | return static_cast<float>(x); |
| 56 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 57 | |
| 58 | /* [scale-x skew-x trans-x] [X] [X'] |
| 59 | [skew-y scale-y trans-y] * [Y] = [Y'] |
| 60 | [persp-0 persp-1 persp-2] [1] [1 ] |
| 61 | */ |
| 62 | |
| 63 | void SkMatrix::reset() { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 64 | fMat[kMScaleX] = fMat[kMScaleY] = fMat[kMPersp2] = 1; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 65 | fMat[kMSkewX] = fMat[kMSkewY] = |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 66 | fMat[kMTransX] = fMat[kMTransY] = |
| 67 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 68 | this->setTypeMask(kIdentity_Mask | kRectStaysRect_Mask); |
| 69 | } |
| 70 | |
reed | 451e822 | 2014-12-13 08:46:48 -0800 | [diff] [blame] | 71 | void SkMatrix::set9(const SkScalar buffer[]) { |
| 72 | memcpy(fMat, buffer, 9 * sizeof(SkScalar)); |
| 73 | normalize_perspective(fMat); |
| 74 | this->setTypeMask(kUnknown_Mask); |
| 75 | } |
| 76 | |
| 77 | void SkMatrix::setAffine(const SkScalar buffer[]) { |
| 78 | fMat[kMScaleX] = buffer[kAScaleX]; |
| 79 | fMat[kMSkewX] = buffer[kASkewX]; |
| 80 | fMat[kMTransX] = buffer[kATransX]; |
| 81 | fMat[kMSkewY] = buffer[kASkewY]; |
| 82 | fMat[kMScaleY] = buffer[kAScaleY]; |
| 83 | fMat[kMTransY] = buffer[kATransY]; |
| 84 | fMat[kMPersp0] = 0; |
| 85 | fMat[kMPersp1] = 0; |
| 86 | fMat[kMPersp2] = 1; |
| 87 | this->setTypeMask(kUnknown_Mask); |
| 88 | } |
| 89 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 90 | // this guy aligns with the masks, so we can compute a mask from a varaible 0/1 |
| 91 | enum { |
| 92 | kTranslate_Shift, |
| 93 | kScale_Shift, |
| 94 | kAffine_Shift, |
| 95 | kPerspective_Shift, |
| 96 | kRectStaysRect_Shift |
| 97 | }; |
| 98 | |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame] | 99 | static const int32_t kScalar1Int = 0x3f800000; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 100 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 101 | uint8_t SkMatrix::computePerspectiveTypeMask() const { |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 102 | // Benchmarking suggests that replacing this set of SkScalarAs2sCompliment |
| 103 | // is a win, but replacing those below is not. We don't yet understand |
| 104 | // that result. |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 105 | if (fMat[kMPersp0] != 0 || fMat[kMPersp1] != 0 || fMat[kMPersp2] != 1) { |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 106 | // If this is a perspective transform, we return true for all other |
bsalomon@google.com | 19263b1 | 2012-07-13 13:36:38 +0000 | [diff] [blame] | 107 | // transform flags - this does not disable any optimizations, respects |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 108 | // the rule that the type mask must be conservative, and speeds up |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 109 | // type mask computation. |
| 110 | return SkToU8(kORableMasks); |
| 111 | } |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 112 | |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 113 | return SkToU8(kOnlyPerspectiveValid_Mask | kUnknown_Mask); |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 114 | } |
| 115 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 116 | uint8_t SkMatrix::computeTypeMask() const { |
| 117 | unsigned mask = 0; |
| 118 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 119 | if (fMat[kMPersp0] != 0 || fMat[kMPersp1] != 0 || fMat[kMPersp2] != 1) { |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 120 | // Once it is determined that that this is a perspective transform, |
| 121 | // all other flags are moot as far as optimizations are concerned. |
| 122 | return SkToU8(kORableMasks); |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 123 | } |
| 124 | |
| 125 | if (fMat[kMTransX] != 0 || fMat[kMTransY] != 0) { |
| 126 | mask |= kTranslate_Mask; |
| 127 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 128 | |
| 129 | int m00 = SkScalarAs2sCompliment(fMat[SkMatrix::kMScaleX]); |
| 130 | int m01 = SkScalarAs2sCompliment(fMat[SkMatrix::kMSkewX]); |
| 131 | int m10 = SkScalarAs2sCompliment(fMat[SkMatrix::kMSkewY]); |
| 132 | int m11 = SkScalarAs2sCompliment(fMat[SkMatrix::kMScaleY]); |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 133 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 134 | if (m01 | m10) { |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 135 | // The skew components may be scale-inducing, unless we are dealing |
| 136 | // with a pure rotation. Testing for a pure rotation is expensive, |
| 137 | // so we opt for being conservative by always setting the scale bit. |
| 138 | // along with affine. |
| 139 | // By doing this, we are also ensuring that matrices have the same |
| 140 | // type masks as their inverses. |
| 141 | mask |= kAffine_Mask | kScale_Mask; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 142 | |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 143 | // For rectStaysRect, in the affine case, we only need check that |
| 144 | // the primary diagonal is all zeros and that the secondary diagonal |
| 145 | // is all non-zero. |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 146 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 147 | // map non-zero to 1 |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 148 | m01 = m01 != 0; |
| 149 | m10 = m10 != 0; |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 150 | |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 151 | int dp0 = 0 == (m00 | m11) ; // true if both are 0 |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 152 | int ds1 = m01 & m10; // true if both are 1 |
tomhudson@google.com | ac38525 | 2011-06-06 15:18:28 +0000 | [diff] [blame] | 153 | |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 154 | mask |= (dp0 & ds1) << kRectStaysRect_Shift; |
| 155 | } else { |
| 156 | // Only test for scale explicitly if not affine, since affine sets the |
| 157 | // scale bit. |
tomhudson | d5c4265 | 2015-12-07 10:38:05 -0800 | [diff] [blame] | 158 | if ((m00 ^ kScalar1Int) | (m11 ^ kScalar1Int)) { |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 159 | mask |= kScale_Mask; |
| 160 | } |
| 161 | |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 162 | // Not affine, therefore we already know secondary diagonal is |
junov@chromium.org | 6fc5699 | 2012-07-12 14:01:32 +0000 | [diff] [blame] | 163 | // all zeros, so we just need to check that primary diagonal is |
| 164 | // all non-zero. |
| 165 | |
| 166 | // map non-zero to 1 |
| 167 | m00 = m00 != 0; |
| 168 | m11 = m11 != 0; |
| 169 | |
| 170 | // record if the (p)rimary diagonal is all non-zero |
| 171 | mask |= (m00 & m11) << kRectStaysRect_Shift; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 172 | } |
| 173 | |
| 174 | return SkToU8(mask); |
| 175 | } |
| 176 | |
| 177 | /////////////////////////////////////////////////////////////////////////////// |
| 178 | |
reed@google.com | 3fb5187 | 2011-06-01 15:11:22 +0000 | [diff] [blame] | 179 | bool operator==(const SkMatrix& a, const SkMatrix& b) { |
| 180 | const SkScalar* SK_RESTRICT ma = a.fMat; |
| 181 | const SkScalar* SK_RESTRICT mb = b.fMat; |
| 182 | |
| 183 | return ma[0] == mb[0] && ma[1] == mb[1] && ma[2] == mb[2] && |
| 184 | ma[3] == mb[3] && ma[4] == mb[4] && ma[5] == mb[5] && |
| 185 | ma[6] == mb[6] && ma[7] == mb[7] && ma[8] == mb[8]; |
| 186 | } |
| 187 | |
reed@google.com | 3fb5187 | 2011-06-01 15:11:22 +0000 | [diff] [blame] | 188 | /////////////////////////////////////////////////////////////////////////////// |
| 189 | |
commit-bot@chromium.org | 4dcd062 | 2013-07-29 14:43:31 +0000 | [diff] [blame] | 190 | // helper function to determine if upper-left 2x2 of matrix is degenerate |
skia.committer@gmail.com | 16d53aa | 2013-07-30 07:01:00 +0000 | [diff] [blame] | 191 | static inline bool is_degenerate_2x2(SkScalar scaleX, SkScalar skewX, |
commit-bot@chromium.org | 4dcd062 | 2013-07-29 14:43:31 +0000 | [diff] [blame] | 192 | SkScalar skewY, SkScalar scaleY) { |
| 193 | SkScalar perp_dot = scaleX*scaleY - skewX*skewY; |
| 194 | return SkScalarNearlyZero(perp_dot, SK_ScalarNearlyZero*SK_ScalarNearlyZero); |
| 195 | } |
| 196 | |
| 197 | /////////////////////////////////////////////////////////////////////////////// |
| 198 | |
jvanverth@google.com | 46d3d39 | 2013-01-22 13:34:01 +0000 | [diff] [blame] | 199 | bool SkMatrix::isSimilarity(SkScalar tol) const { |
| 200 | // if identity or translate matrix |
| 201 | TypeMask mask = this->getType(); |
| 202 | if (mask <= kTranslate_Mask) { |
| 203 | return true; |
| 204 | } |
| 205 | if (mask & kPerspective_Mask) { |
| 206 | return false; |
| 207 | } |
| 208 | |
| 209 | SkScalar mx = fMat[kMScaleX]; |
| 210 | SkScalar my = fMat[kMScaleY]; |
| 211 | // if no skew, can just compare scale factors |
| 212 | if (!(mask & kAffine_Mask)) { |
| 213 | return !SkScalarNearlyZero(mx) && SkScalarNearlyEqual(SkScalarAbs(mx), SkScalarAbs(my)); |
| 214 | } |
| 215 | SkScalar sx = fMat[kMSkewX]; |
| 216 | SkScalar sy = fMat[kMSkewY]; |
| 217 | |
commit-bot@chromium.org | 4dcd062 | 2013-07-29 14:43:31 +0000 | [diff] [blame] | 218 | if (is_degenerate_2x2(mx, sx, sy, my)) { |
jvanverth@google.com | 46d3d39 | 2013-01-22 13:34:01 +0000 | [diff] [blame] | 219 | return false; |
| 220 | } |
| 221 | |
jvanverth | 17a845f | 2014-09-02 13:15:40 -0700 | [diff] [blame] | 222 | // upper 2x2 is rotation/reflection + uniform scale if basis vectors |
| 223 | // are 90 degree rotations of each other |
| 224 | return (SkScalarNearlyEqual(mx, my, tol) && SkScalarNearlyEqual(sx, -sy, tol)) |
| 225 | || (SkScalarNearlyEqual(mx, -my, tol) && SkScalarNearlyEqual(sx, sy, tol)); |
robertphillips@google.com | df3695e | 2013-04-09 14:01:44 +0000 | [diff] [blame] | 226 | } |
| 227 | |
| 228 | bool SkMatrix::preservesRightAngles(SkScalar tol) const { |
| 229 | TypeMask mask = this->getType(); |
skia.committer@gmail.com | 07d3a65 | 2013-04-10 07:01:15 +0000 | [diff] [blame] | 230 | |
jvanverth | 17a845f | 2014-09-02 13:15:40 -0700 | [diff] [blame] | 231 | if (mask <= kTranslate_Mask) { |
robertphillips@google.com | df3695e | 2013-04-09 14:01:44 +0000 | [diff] [blame] | 232 | // identity, translate and/or scale |
| 233 | return true; |
| 234 | } |
| 235 | if (mask & kPerspective_Mask) { |
| 236 | return false; |
| 237 | } |
| 238 | |
jvanverth | 17a845f | 2014-09-02 13:15:40 -0700 | [diff] [blame] | 239 | SkASSERT(mask & (kAffine_Mask | kScale_Mask)); |
robertphillips@google.com | df3695e | 2013-04-09 14:01:44 +0000 | [diff] [blame] | 240 | |
| 241 | SkScalar mx = fMat[kMScaleX]; |
| 242 | SkScalar my = fMat[kMScaleY]; |
| 243 | SkScalar sx = fMat[kMSkewX]; |
| 244 | SkScalar sy = fMat[kMSkewY]; |
| 245 | |
commit-bot@chromium.org | 4dcd062 | 2013-07-29 14:43:31 +0000 | [diff] [blame] | 246 | if (is_degenerate_2x2(mx, sx, sy, my)) { |
robertphillips@google.com | df3695e | 2013-04-09 14:01:44 +0000 | [diff] [blame] | 247 | return false; |
| 248 | } |
| 249 | |
jvanverth | 17a845f | 2014-09-02 13:15:40 -0700 | [diff] [blame] | 250 | // upper 2x2 is scale + rotation/reflection if basis vectors are orthogonal |
robertphillips@google.com | df3695e | 2013-04-09 14:01:44 +0000 | [diff] [blame] | 251 | SkVector vec[2]; |
jvanverth | 17a845f | 2014-09-02 13:15:40 -0700 | [diff] [blame] | 252 | vec[0].set(mx, sy); |
| 253 | vec[1].set(sx, my); |
robertphillips@google.com | df3695e | 2013-04-09 14:01:44 +0000 | [diff] [blame] | 254 | |
jvanverth | 17a845f | 2014-09-02 13:15:40 -0700 | [diff] [blame] | 255 | return SkScalarNearlyZero(vec[0].dot(vec[1]), SkScalarSquare(tol)); |
jvanverth@google.com | 46d3d39 | 2013-01-22 13:34:01 +0000 | [diff] [blame] | 256 | } |
| 257 | |
| 258 | /////////////////////////////////////////////////////////////////////////////// |
| 259 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 260 | static inline SkScalar sdot(SkScalar a, SkScalar b, SkScalar c, SkScalar d) { |
| 261 | return a * b + c * d; |
| 262 | } |
| 263 | |
| 264 | static inline SkScalar sdot(SkScalar a, SkScalar b, SkScalar c, SkScalar d, |
| 265 | SkScalar e, SkScalar f) { |
| 266 | return a * b + c * d + e * f; |
| 267 | } |
| 268 | |
| 269 | static inline SkScalar scross(SkScalar a, SkScalar b, SkScalar c, SkScalar d) { |
| 270 | return a * b - c * d; |
| 271 | } |
| 272 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 273 | void SkMatrix::setTranslate(SkScalar dx, SkScalar dy) { |
reed@google.com | c0784db | 2013-12-13 21:16:12 +0000 | [diff] [blame] | 274 | if (dx || dy) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 275 | fMat[kMTransX] = dx; |
| 276 | fMat[kMTransY] = dy; |
| 277 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 278 | fMat[kMScaleX] = fMat[kMScaleY] = fMat[kMPersp2] = 1; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 279 | fMat[kMSkewX] = fMat[kMSkewY] = |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 280 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 281 | |
| 282 | this->setTypeMask(kTranslate_Mask | kRectStaysRect_Mask); |
| 283 | } else { |
| 284 | this->reset(); |
| 285 | } |
| 286 | } |
| 287 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 288 | void SkMatrix::preTranslate(SkScalar dx, SkScalar dy) { |
| 289 | if (!dx && !dy) { |
| 290 | return; |
| 291 | } |
| 292 | |
mtklein | cbdf007 | 2016-08-19 09:05:27 -0700 | [diff] [blame] | 293 | if (fTypeMask <= kTranslate_Mask) { |
| 294 | fMat[kMTransX] += dx; |
| 295 | fMat[kMTransY] += dy; |
| 296 | this->setTypeMask((fMat[kMTransX] != 0 || fMat[kMTransY] != 0) ? kTranslate_Mask |
| 297 | : kIdentity_Mask); |
| 298 | } else if (this->hasPerspective()) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 299 | SkMatrix m; |
| 300 | m.setTranslate(dx, dy); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 301 | this->preConcat(m); |
| 302 | } else { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 303 | fMat[kMTransX] += sdot(fMat[kMScaleX], dx, fMat[kMSkewX], dy); |
| 304 | fMat[kMTransY] += sdot(fMat[kMSkewY], dx, fMat[kMScaleY], dy); |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 305 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 306 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 307 | } |
| 308 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 309 | void SkMatrix::postTranslate(SkScalar dx, SkScalar dy) { |
| 310 | if (!dx && !dy) { |
| 311 | return; |
| 312 | } |
| 313 | |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 314 | if (this->hasPerspective()) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 315 | SkMatrix m; |
| 316 | m.setTranslate(dx, dy); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 317 | this->postConcat(m); |
| 318 | } else { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 319 | fMat[kMTransX] += dx; |
| 320 | fMat[kMTransY] += dy; |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 321 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 322 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 323 | } |
| 324 | |
| 325 | /////////////////////////////////////////////////////////////////////////////// |
| 326 | |
| 327 | void SkMatrix::setScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 328 | if (1 == sx && 1 == sy) { |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 329 | this->reset(); |
| 330 | } else { |
reed | d1f0ebd | 2014-10-02 12:58:43 -0700 | [diff] [blame] | 331 | this->setScaleTranslate(sx, sy, px - sx * px, py - sy * py); |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 332 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 333 | } |
| 334 | |
| 335 | void SkMatrix::setScale(SkScalar sx, SkScalar sy) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 336 | if (1 == sx && 1 == sy) { |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 337 | this->reset(); |
| 338 | } else { |
| 339 | fMat[kMScaleX] = sx; |
| 340 | fMat[kMScaleY] = sy; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 341 | fMat[kMPersp2] = 1; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 342 | |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 343 | fMat[kMTransX] = fMat[kMTransY] = |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 344 | fMat[kMSkewX] = fMat[kMSkewY] = |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 345 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 346 | |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 347 | this->setTypeMask(kScale_Mask | kRectStaysRect_Mask); |
| 348 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 349 | } |
| 350 | |
bsalomon@google.com | 5c63865 | 2011-07-18 19:31:59 +0000 | [diff] [blame] | 351 | bool SkMatrix::setIDiv(int divx, int divy) { |
| 352 | if (!divx || !divy) { |
| 353 | return false; |
| 354 | } |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 355 | this->setScale(SkScalarInvert(divx), SkScalarInvert(divy)); |
bsalomon@google.com | 5c63865 | 2011-07-18 19:31:59 +0000 | [diff] [blame] | 356 | return true; |
| 357 | } |
| 358 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 359 | void SkMatrix::preScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
| 360 | if (1 == sx && 1 == sy) { |
| 361 | return; |
| 362 | } |
| 363 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 364 | SkMatrix m; |
| 365 | m.setScale(sx, sy, px, py); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 366 | this->preConcat(m); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 367 | } |
| 368 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 369 | void SkMatrix::preScale(SkScalar sx, SkScalar sy) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 370 | if (1 == sx && 1 == sy) { |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 371 | return; |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 372 | } |
| 373 | |
reed@google.com | 3fb5187 | 2011-06-01 15:11:22 +0000 | [diff] [blame] | 374 | // the assumption is that these multiplies are very cheap, and that |
| 375 | // a full concat and/or just computing the matrix type is more expensive. |
| 376 | // Also, the fixed-point case checks for overflow, but the float doesn't, |
| 377 | // so we can get away with these blind multiplies. |
| 378 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 379 | fMat[kMScaleX] *= sx; |
| 380 | fMat[kMSkewY] *= sx; |
| 381 | fMat[kMPersp0] *= sx; |
reed@google.com | 3fb5187 | 2011-06-01 15:11:22 +0000 | [diff] [blame] | 382 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 383 | fMat[kMSkewX] *= sy; |
| 384 | fMat[kMScaleY] *= sy; |
| 385 | fMat[kMPersp1] *= sy; |
reed@google.com | 3fb5187 | 2011-06-01 15:11:22 +0000 | [diff] [blame] | 386 | |
fmalita | a379da4 | 2015-12-17 14:12:30 -0800 | [diff] [blame] | 387 | // Attempt to simplify our type when applying an inverse scale. |
| 388 | // TODO: The persp/affine preconditions are in place to keep the mask consistent with |
| 389 | // what computeTypeMask() would produce (persp/skew always implies kScale). |
| 390 | // We should investigate whether these flag dependencies are truly needed. |
| 391 | if (fMat[kMScaleX] == 1 && fMat[kMScaleY] == 1 |
| 392 | && !(fTypeMask & (kPerspective_Mask | kAffine_Mask))) { |
| 393 | this->clearTypeMask(kScale_Mask); |
| 394 | } else { |
| 395 | this->orTypeMask(kScale_Mask); |
| 396 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 397 | } |
| 398 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 399 | void SkMatrix::postScale(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 400 | if (1 == sx && 1 == sy) { |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 401 | return; |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 402 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 403 | SkMatrix m; |
| 404 | m.setScale(sx, sy, px, py); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 405 | this->postConcat(m); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 406 | } |
| 407 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 408 | void SkMatrix::postScale(SkScalar sx, SkScalar sy) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 409 | if (1 == sx && 1 == sy) { |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 410 | return; |
reed@google.com | f244f90 | 2011-09-06 21:02:36 +0000 | [diff] [blame] | 411 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 412 | SkMatrix m; |
| 413 | m.setScale(sx, sy); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 414 | this->postConcat(m); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 415 | } |
| 416 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 417 | // this guy perhaps can go away, if we have a fract/high-precision way to |
| 418 | // scale matrices |
| 419 | bool SkMatrix::postIDiv(int divx, int divy) { |
| 420 | if (divx == 0 || divy == 0) { |
| 421 | return false; |
| 422 | } |
| 423 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 424 | const float invX = 1.f / divx; |
| 425 | const float invY = 1.f / divy; |
| 426 | |
| 427 | fMat[kMScaleX] *= invX; |
| 428 | fMat[kMSkewX] *= invX; |
| 429 | fMat[kMTransX] *= invX; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 430 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 431 | fMat[kMScaleY] *= invY; |
| 432 | fMat[kMSkewY] *= invY; |
| 433 | fMat[kMTransY] *= invY; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 434 | |
| 435 | this->setTypeMask(kUnknown_Mask); |
| 436 | return true; |
| 437 | } |
| 438 | |
| 439 | //////////////////////////////////////////////////////////////////////////////////// |
| 440 | |
reed | d1f0ebd | 2014-10-02 12:58:43 -0700 | [diff] [blame] | 441 | void SkMatrix::setSinCos(SkScalar sinV, SkScalar cosV, SkScalar px, SkScalar py) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 442 | const SkScalar oneMinusCosV = 1 - cosV; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 443 | |
| 444 | fMat[kMScaleX] = cosV; |
| 445 | fMat[kMSkewX] = -sinV; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 446 | fMat[kMTransX] = sdot(sinV, py, oneMinusCosV, px); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 447 | |
| 448 | fMat[kMSkewY] = sinV; |
| 449 | fMat[kMScaleY] = cosV; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 450 | fMat[kMTransY] = sdot(-sinV, px, oneMinusCosV, py); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 451 | |
| 452 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 453 | fMat[kMPersp2] = 1; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 454 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 455 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 456 | } |
| 457 | |
reed | 71c3c76 | 2015-06-24 10:29:17 -0700 | [diff] [blame] | 458 | SkMatrix& SkMatrix::setRSXform(const SkRSXform& xform) { |
| 459 | fMat[kMScaleX] = xform.fSCos; |
| 460 | fMat[kMSkewX] = -xform.fSSin; |
| 461 | fMat[kMTransX] = xform.fTx; |
mtklein | 4e8a09d | 2015-09-10 11:18:31 -0700 | [diff] [blame] | 462 | |
reed | 71c3c76 | 2015-06-24 10:29:17 -0700 | [diff] [blame] | 463 | fMat[kMSkewY] = xform.fSSin; |
| 464 | fMat[kMScaleY] = xform.fSCos; |
| 465 | fMat[kMTransY] = xform.fTy; |
mtklein | 4e8a09d | 2015-09-10 11:18:31 -0700 | [diff] [blame] | 466 | |
reed | 71c3c76 | 2015-06-24 10:29:17 -0700 | [diff] [blame] | 467 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
| 468 | fMat[kMPersp2] = 1; |
mtklein | 4e8a09d | 2015-09-10 11:18:31 -0700 | [diff] [blame] | 469 | |
reed | 71c3c76 | 2015-06-24 10:29:17 -0700 | [diff] [blame] | 470 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
| 471 | return *this; |
| 472 | } |
| 473 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 474 | void SkMatrix::setSinCos(SkScalar sinV, SkScalar cosV) { |
| 475 | fMat[kMScaleX] = cosV; |
| 476 | fMat[kMSkewX] = -sinV; |
| 477 | fMat[kMTransX] = 0; |
| 478 | |
| 479 | fMat[kMSkewY] = sinV; |
| 480 | fMat[kMScaleY] = cosV; |
| 481 | fMat[kMTransY] = 0; |
| 482 | |
| 483 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 484 | fMat[kMPersp2] = 1; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 485 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 486 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 487 | } |
| 488 | |
| 489 | void SkMatrix::setRotate(SkScalar degrees, SkScalar px, SkScalar py) { |
| 490 | SkScalar sinV, cosV; |
| 491 | sinV = SkScalarSinCos(SkDegreesToRadians(degrees), &cosV); |
| 492 | this->setSinCos(sinV, cosV, px, py); |
| 493 | } |
| 494 | |
| 495 | void SkMatrix::setRotate(SkScalar degrees) { |
| 496 | SkScalar sinV, cosV; |
| 497 | sinV = SkScalarSinCos(SkDegreesToRadians(degrees), &cosV); |
| 498 | this->setSinCos(sinV, cosV); |
| 499 | } |
| 500 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 501 | void SkMatrix::preRotate(SkScalar degrees, SkScalar px, SkScalar py) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 502 | SkMatrix m; |
| 503 | m.setRotate(degrees, px, py); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 504 | this->preConcat(m); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 505 | } |
| 506 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 507 | void SkMatrix::preRotate(SkScalar degrees) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 508 | SkMatrix m; |
| 509 | m.setRotate(degrees); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 510 | this->preConcat(m); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 511 | } |
| 512 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 513 | void SkMatrix::postRotate(SkScalar degrees, SkScalar px, SkScalar py) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 514 | SkMatrix m; |
| 515 | m.setRotate(degrees, px, py); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 516 | this->postConcat(m); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 517 | } |
| 518 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 519 | void SkMatrix::postRotate(SkScalar degrees) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 520 | SkMatrix m; |
| 521 | m.setRotate(degrees); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 522 | this->postConcat(m); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 523 | } |
| 524 | |
| 525 | //////////////////////////////////////////////////////////////////////////////////// |
| 526 | |
| 527 | void SkMatrix::setSkew(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 528 | fMat[kMScaleX] = 1; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 529 | fMat[kMSkewX] = sx; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 530 | fMat[kMTransX] = -sx * py; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 531 | |
| 532 | fMat[kMSkewY] = sy; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 533 | fMat[kMScaleY] = 1; |
| 534 | fMat[kMTransY] = -sy * px; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 535 | |
| 536 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 537 | fMat[kMPersp2] = 1; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 538 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 539 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 540 | } |
| 541 | |
| 542 | void SkMatrix::setSkew(SkScalar sx, SkScalar sy) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 543 | fMat[kMScaleX] = 1; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 544 | fMat[kMSkewX] = sx; |
| 545 | fMat[kMTransX] = 0; |
| 546 | |
| 547 | fMat[kMSkewY] = sy; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 548 | fMat[kMScaleY] = 1; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 549 | fMat[kMTransY] = 0; |
| 550 | |
| 551 | fMat[kMPersp0] = fMat[kMPersp1] = 0; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 552 | fMat[kMPersp2] = 1; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 553 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 554 | this->setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 555 | } |
| 556 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 557 | void SkMatrix::preSkew(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 558 | SkMatrix m; |
| 559 | m.setSkew(sx, sy, px, py); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 560 | this->preConcat(m); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 561 | } |
| 562 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 563 | void SkMatrix::preSkew(SkScalar sx, SkScalar sy) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 564 | SkMatrix m; |
| 565 | m.setSkew(sx, sy); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 566 | this->preConcat(m); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 567 | } |
| 568 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 569 | void SkMatrix::postSkew(SkScalar sx, SkScalar sy, SkScalar px, SkScalar py) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 570 | SkMatrix m; |
| 571 | m.setSkew(sx, sy, px, py); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 572 | this->postConcat(m); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 573 | } |
| 574 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 575 | void SkMatrix::postSkew(SkScalar sx, SkScalar sy) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 576 | SkMatrix m; |
| 577 | m.setSkew(sx, sy); |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 578 | this->postConcat(m); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 579 | } |
| 580 | |
| 581 | /////////////////////////////////////////////////////////////////////////////// |
| 582 | |
reed | d1f0ebd | 2014-10-02 12:58:43 -0700 | [diff] [blame] | 583 | bool SkMatrix::setRectToRect(const SkRect& src, const SkRect& dst, ScaleToFit align) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 584 | if (src.isEmpty()) { |
| 585 | this->reset(); |
| 586 | return false; |
| 587 | } |
| 588 | |
| 589 | if (dst.isEmpty()) { |
reed@android.com | 4516f47 | 2009-06-29 16:25:36 +0000 | [diff] [blame] | 590 | sk_bzero(fMat, 8 * sizeof(SkScalar)); |
reed | d1f0ebd | 2014-10-02 12:58:43 -0700 | [diff] [blame] | 591 | fMat[kMPersp2] = 1; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 592 | this->setTypeMask(kScale_Mask | kRectStaysRect_Mask); |
| 593 | } else { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 594 | SkScalar tx, sx = dst.width() / src.width(); |
| 595 | SkScalar ty, sy = dst.height() / src.height(); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 596 | bool xLarger = false; |
| 597 | |
| 598 | if (align != kFill_ScaleToFit) { |
| 599 | if (sx > sy) { |
| 600 | xLarger = true; |
| 601 | sx = sy; |
| 602 | } else { |
| 603 | sy = sx; |
| 604 | } |
| 605 | } |
| 606 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 607 | tx = dst.fLeft - src.fLeft * sx; |
| 608 | ty = dst.fTop - src.fTop * sy; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 609 | if (align == kCenter_ScaleToFit || align == kEnd_ScaleToFit) { |
| 610 | SkScalar diff; |
| 611 | |
| 612 | if (xLarger) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 613 | diff = dst.width() - src.width() * sy; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 614 | } else { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 615 | diff = dst.height() - src.height() * sy; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 616 | } |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 617 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 618 | if (align == kCenter_ScaleToFit) { |
| 619 | diff = SkScalarHalf(diff); |
| 620 | } |
| 621 | |
| 622 | if (xLarger) { |
| 623 | tx += diff; |
| 624 | } else { |
| 625 | ty += diff; |
| 626 | } |
| 627 | } |
| 628 | |
reed | d1f0ebd | 2014-10-02 12:58:43 -0700 | [diff] [blame] | 629 | this->setScaleTranslate(sx, sy, tx, ty); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 630 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 631 | return true; |
| 632 | } |
| 633 | |
| 634 | /////////////////////////////////////////////////////////////////////////////// |
| 635 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 636 | static inline float muladdmul(float a, float b, float c, float d) { |
| 637 | return SkDoubleToFloat((double)a * b + (double)c * d); |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame] | 638 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 639 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 640 | static inline float rowcol3(const float row[], const float col[]) { |
| 641 | return row[0] * col[0] + row[1] * col[3] + row[2] * col[6]; |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame] | 642 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 643 | |
reed | d1f0ebd | 2014-10-02 12:58:43 -0700 | [diff] [blame] | 644 | static bool only_scale_and_translate(unsigned mask) { |
| 645 | return 0 == (mask & (SkMatrix::kAffine_Mask | SkMatrix::kPerspective_Mask)); |
| 646 | } |
| 647 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 648 | void SkMatrix::setConcat(const SkMatrix& a, const SkMatrix& b) { |
reed | d1f0ebd | 2014-10-02 12:58:43 -0700 | [diff] [blame] | 649 | TypeMask aType = a.getType(); |
| 650 | TypeMask bType = b.getType(); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 651 | |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 652 | if (a.isTriviallyIdentity()) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 653 | *this = b; |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 654 | } else if (b.isTriviallyIdentity()) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 655 | *this = a; |
reed | d1f0ebd | 2014-10-02 12:58:43 -0700 | [diff] [blame] | 656 | } else if (only_scale_and_translate(aType | bType)) { |
| 657 | this->setScaleTranslate(a.fMat[kMScaleX] * b.fMat[kMScaleX], |
| 658 | a.fMat[kMScaleY] * b.fMat[kMScaleY], |
| 659 | a.fMat[kMScaleX] * b.fMat[kMTransX] + a.fMat[kMTransX], |
| 660 | a.fMat[kMScaleY] * b.fMat[kMTransY] + a.fMat[kMTransY]); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 661 | } else { |
| 662 | SkMatrix tmp; |
| 663 | |
| 664 | if ((aType | bType) & kPerspective_Mask) { |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 665 | tmp.fMat[kMScaleX] = rowcol3(&a.fMat[0], &b.fMat[0]); |
| 666 | tmp.fMat[kMSkewX] = rowcol3(&a.fMat[0], &b.fMat[1]); |
| 667 | tmp.fMat[kMTransX] = rowcol3(&a.fMat[0], &b.fMat[2]); |
| 668 | tmp.fMat[kMSkewY] = rowcol3(&a.fMat[3], &b.fMat[0]); |
| 669 | tmp.fMat[kMScaleY] = rowcol3(&a.fMat[3], &b.fMat[1]); |
| 670 | tmp.fMat[kMTransY] = rowcol3(&a.fMat[3], &b.fMat[2]); |
| 671 | tmp.fMat[kMPersp0] = rowcol3(&a.fMat[6], &b.fMat[0]); |
| 672 | tmp.fMat[kMPersp1] = rowcol3(&a.fMat[6], &b.fMat[1]); |
| 673 | tmp.fMat[kMPersp2] = rowcol3(&a.fMat[6], &b.fMat[2]); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 674 | |
| 675 | normalize_perspective(tmp.fMat); |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 676 | tmp.setTypeMask(kUnknown_Mask); |
reed | d1f0ebd | 2014-10-02 12:58:43 -0700 | [diff] [blame] | 677 | } else { |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 678 | tmp.fMat[kMScaleX] = muladdmul(a.fMat[kMScaleX], |
| 679 | b.fMat[kMScaleX], |
| 680 | a.fMat[kMSkewX], |
| 681 | b.fMat[kMSkewY]); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 682 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 683 | tmp.fMat[kMSkewX] = muladdmul(a.fMat[kMScaleX], |
| 684 | b.fMat[kMSkewX], |
| 685 | a.fMat[kMSkewX], |
| 686 | b.fMat[kMScaleY]); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 687 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 688 | tmp.fMat[kMTransX] = muladdmul(a.fMat[kMScaleX], |
| 689 | b.fMat[kMTransX], |
| 690 | a.fMat[kMSkewX], |
reed | d1f0ebd | 2014-10-02 12:58:43 -0700 | [diff] [blame] | 691 | b.fMat[kMTransY]) + a.fMat[kMTransX]; |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 692 | |
| 693 | tmp.fMat[kMSkewY] = muladdmul(a.fMat[kMSkewY], |
| 694 | b.fMat[kMScaleX], |
| 695 | a.fMat[kMScaleY], |
| 696 | b.fMat[kMSkewY]); |
| 697 | |
| 698 | tmp.fMat[kMScaleY] = muladdmul(a.fMat[kMSkewY], |
| 699 | b.fMat[kMSkewX], |
| 700 | a.fMat[kMScaleY], |
| 701 | b.fMat[kMScaleY]); |
| 702 | |
| 703 | tmp.fMat[kMTransY] = muladdmul(a.fMat[kMSkewY], |
| 704 | b.fMat[kMTransX], |
| 705 | a.fMat[kMScaleY], |
reed | d1f0ebd | 2014-10-02 12:58:43 -0700 | [diff] [blame] | 706 | b.fMat[kMTransY]) + a.fMat[kMTransY]; |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 707 | |
reed | d1f0ebd | 2014-10-02 12:58:43 -0700 | [diff] [blame] | 708 | tmp.fMat[kMPersp0] = 0; |
| 709 | tmp.fMat[kMPersp1] = 0; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 710 | tmp.fMat[kMPersp2] = 1; |
tomhudson@google.com | dd5f744 | 2011-08-30 15:13:55 +0000 | [diff] [blame] | 711 | //SkDebugf("Concat mat non-persp type: %d\n", tmp.getType()); |
| 712 | //SkASSERT(!(tmp.getType() & kPerspective_Mask)); |
| 713 | tmp.setTypeMask(kUnknown_Mask | kOnlyPerspectiveValid_Mask); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 714 | } |
| 715 | *this = tmp; |
| 716 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 717 | } |
| 718 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 719 | void SkMatrix::preConcat(const SkMatrix& mat) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 720 | // check for identity first, so we don't do a needless copy of ourselves |
| 721 | // to ourselves inside setConcat() |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 722 | if(!mat.isIdentity()) { |
| 723 | this->setConcat(*this, mat); |
| 724 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 725 | } |
| 726 | |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 727 | void SkMatrix::postConcat(const SkMatrix& mat) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 728 | // check for identity first, so we don't do a needless copy of ourselves |
| 729 | // to ourselves inside setConcat() |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 730 | if (!mat.isIdentity()) { |
| 731 | this->setConcat(mat, *this); |
| 732 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 733 | } |
| 734 | |
| 735 | /////////////////////////////////////////////////////////////////////////////// |
| 736 | |
reed@android.com | 0b9e2db | 2009-09-16 17:00:17 +0000 | [diff] [blame] | 737 | /* Matrix inversion is very expensive, but also the place where keeping |
| 738 | precision may be most important (here and matrix concat). Hence to avoid |
| 739 | bitmap blitting artifacts when walking the inverse, we use doubles for |
| 740 | the intermediate math, even though we know that is more expensive. |
reed@android.com | 0b9e2db | 2009-09-16 17:00:17 +0000 | [diff] [blame] | 741 | */ |
| 742 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 743 | static inline SkScalar scross_dscale(SkScalar a, SkScalar b, |
| 744 | SkScalar c, SkScalar d, double scale) { |
| 745 | return SkDoubleToScalar(scross(a, b, c, d) * scale); |
| 746 | } |
| 747 | |
| 748 | static inline double dcross(double a, double b, double c, double d) { |
| 749 | return a * b - c * d; |
| 750 | } |
| 751 | |
| 752 | static inline SkScalar dcross_dscale(double a, double b, |
| 753 | double c, double d, double scale) { |
| 754 | return SkDoubleToScalar(dcross(a, b, c, d) * scale); |
| 755 | } |
| 756 | |
| 757 | static double sk_inv_determinant(const float mat[9], int isPerspective) { |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame] | 758 | double det; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 759 | |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame] | 760 | if (isPerspective) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 761 | det = mat[SkMatrix::kMScaleX] * |
| 762 | dcross(mat[SkMatrix::kMScaleY], mat[SkMatrix::kMPersp2], |
| 763 | mat[SkMatrix::kMTransY], mat[SkMatrix::kMPersp1]) |
| 764 | + |
| 765 | mat[SkMatrix::kMSkewX] * |
| 766 | dcross(mat[SkMatrix::kMTransY], mat[SkMatrix::kMPersp0], |
| 767 | mat[SkMatrix::kMSkewY], mat[SkMatrix::kMPersp2]) |
| 768 | + |
| 769 | mat[SkMatrix::kMTransX] * |
| 770 | dcross(mat[SkMatrix::kMSkewY], mat[SkMatrix::kMPersp1], |
| 771 | mat[SkMatrix::kMScaleY], mat[SkMatrix::kMPersp0]); |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame] | 772 | } else { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 773 | det = dcross(mat[SkMatrix::kMScaleX], mat[SkMatrix::kMScaleY], |
| 774 | mat[SkMatrix::kMSkewX], mat[SkMatrix::kMSkewY]); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 775 | } |
| 776 | |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame] | 777 | // Since the determinant is on the order of the cube of the matrix members, |
| 778 | // compare to the cube of the default nearly-zero constant (although an |
| 779 | // estimate of the condition number would be better if it wasn't so expensive). |
| 780 | if (SkScalarNearlyZero((float)det, SK_ScalarNearlyZero * SK_ScalarNearlyZero * SK_ScalarNearlyZero)) { |
| 781 | return 0; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 782 | } |
reed@google.com | 8f4d230 | 2013-12-17 16:44:46 +0000 | [diff] [blame] | 783 | return 1.0 / det; |
| 784 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 785 | |
bungeman@google.com | 1ddd7c3 | 2011-07-13 19:41:55 +0000 | [diff] [blame] | 786 | void SkMatrix::SetAffineIdentity(SkScalar affine[6]) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 787 | affine[kAScaleX] = 1; |
bungeman@google.com | 1ddd7c3 | 2011-07-13 19:41:55 +0000 | [diff] [blame] | 788 | affine[kASkewY] = 0; |
| 789 | affine[kASkewX] = 0; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 790 | affine[kAScaleY] = 1; |
bungeman@google.com | 1ddd7c3 | 2011-07-13 19:41:55 +0000 | [diff] [blame] | 791 | affine[kATransX] = 0; |
| 792 | affine[kATransY] = 0; |
| 793 | } |
| 794 | |
| 795 | bool SkMatrix::asAffine(SkScalar affine[6]) const { |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 796 | if (this->hasPerspective()) { |
bungeman@google.com | 1ddd7c3 | 2011-07-13 19:41:55 +0000 | [diff] [blame] | 797 | return false; |
vandebo@chromium.org | ddbbd80 | 2010-10-26 19:45:06 +0000 | [diff] [blame] | 798 | } |
bungeman@google.com | 1ddd7c3 | 2011-07-13 19:41:55 +0000 | [diff] [blame] | 799 | if (affine) { |
| 800 | affine[kAScaleX] = this->fMat[kMScaleX]; |
| 801 | affine[kASkewY] = this->fMat[kMSkewY]; |
| 802 | affine[kASkewX] = this->fMat[kMSkewX]; |
| 803 | affine[kAScaleY] = this->fMat[kMScaleY]; |
| 804 | affine[kATransX] = this->fMat[kMTransX]; |
| 805 | affine[kATransY] = this->fMat[kMTransY]; |
| 806 | } |
vandebo@chromium.org | ddbbd80 | 2010-10-26 19:45:06 +0000 | [diff] [blame] | 807 | return true; |
| 808 | } |
| 809 | |
robertphillips | 8b1fa6d | 2015-06-19 06:40:02 -0700 | [diff] [blame] | 810 | void SkMatrix::ComputeInv(SkScalar dst[9], const SkScalar src[9], double invDet, bool isPersp) { |
robertphillips | 20eee3f | 2015-06-19 05:14:26 -0700 | [diff] [blame] | 811 | SkASSERT(src != dst); |
| 812 | SkASSERT(src && dst); |
| 813 | |
| 814 | if (isPersp) { |
| 815 | dst[kMScaleX] = scross_dscale(src[kMScaleY], src[kMPersp2], src[kMTransY], src[kMPersp1], invDet); |
| 816 | dst[kMSkewX] = scross_dscale(src[kMTransX], src[kMPersp1], src[kMSkewX], src[kMPersp2], invDet); |
| 817 | dst[kMTransX] = scross_dscale(src[kMSkewX], src[kMTransY], src[kMTransX], src[kMScaleY], invDet); |
| 818 | |
| 819 | dst[kMSkewY] = scross_dscale(src[kMTransY], src[kMPersp0], src[kMSkewY], src[kMPersp2], invDet); |
| 820 | dst[kMScaleY] = scross_dscale(src[kMScaleX], src[kMPersp2], src[kMTransX], src[kMPersp0], invDet); |
| 821 | dst[kMTransY] = scross_dscale(src[kMTransX], src[kMSkewY], src[kMScaleX], src[kMTransY], invDet); |
| 822 | |
| 823 | dst[kMPersp0] = scross_dscale(src[kMSkewY], src[kMPersp1], src[kMScaleY], src[kMPersp0], invDet); |
| 824 | dst[kMPersp1] = scross_dscale(src[kMSkewX], src[kMPersp0], src[kMScaleX], src[kMPersp1], invDet); |
| 825 | dst[kMPersp2] = scross_dscale(src[kMScaleX], src[kMScaleY], src[kMSkewX], src[kMSkewY], invDet); |
| 826 | } else { // not perspective |
| 827 | dst[kMScaleX] = SkDoubleToScalar(src[kMScaleY] * invDet); |
| 828 | dst[kMSkewX] = SkDoubleToScalar(-src[kMSkewX] * invDet); |
| 829 | dst[kMTransX] = dcross_dscale(src[kMSkewX], src[kMTransY], src[kMScaleY], src[kMTransX], invDet); |
| 830 | |
| 831 | dst[kMSkewY] = SkDoubleToScalar(-src[kMSkewY] * invDet); |
| 832 | dst[kMScaleY] = SkDoubleToScalar(src[kMScaleX] * invDet); |
| 833 | dst[kMTransY] = dcross_dscale(src[kMSkewY], src[kMTransX], src[kMScaleX], src[kMTransY], invDet); |
| 834 | |
| 835 | dst[kMPersp0] = 0; |
| 836 | dst[kMPersp1] = 0; |
| 837 | dst[kMPersp2] = 1; |
| 838 | } |
| 839 | } |
| 840 | |
bsalomon@google.com | 683c3c7 | 2012-10-31 16:50:38 +0000 | [diff] [blame] | 841 | bool SkMatrix::invertNonIdentity(SkMatrix* inv) const { |
| 842 | SkASSERT(!this->isIdentity()); |
reed@google.com | 2fb96cc | 2013-01-04 17:02:33 +0000 | [diff] [blame] | 843 | |
| 844 | TypeMask mask = this->getType(); |
| 845 | |
| 846 | if (0 == (mask & ~(kScale_Mask | kTranslate_Mask))) { |
reed@google.com | e40591d | 2013-01-30 15:47:42 +0000 | [diff] [blame] | 847 | bool invertible = true; |
reed@google.com | 2fb96cc | 2013-01-04 17:02:33 +0000 | [diff] [blame] | 848 | if (inv) { |
| 849 | if (mask & kScale_Mask) { |
| 850 | SkScalar invX = fMat[kMScaleX]; |
| 851 | SkScalar invY = fMat[kMScaleY]; |
| 852 | if (0 == invX || 0 == invY) { |
| 853 | return false; |
| 854 | } |
| 855 | invX = SkScalarInvert(invX); |
| 856 | invY = SkScalarInvert(invY); |
| 857 | |
| 858 | // Must be careful when writing to inv, since it may be the |
| 859 | // same memory as this. |
| 860 | |
| 861 | inv->fMat[kMSkewX] = inv->fMat[kMSkewY] = |
| 862 | inv->fMat[kMPersp0] = inv->fMat[kMPersp1] = 0; |
| 863 | |
| 864 | inv->fMat[kMScaleX] = invX; |
| 865 | inv->fMat[kMScaleY] = invY; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 866 | inv->fMat[kMPersp2] = 1; |
| 867 | inv->fMat[kMTransX] = -fMat[kMTransX] * invX; |
| 868 | inv->fMat[kMTransY] = -fMat[kMTransY] * invY; |
reed@google.com | 2fb96cc | 2013-01-04 17:02:33 +0000 | [diff] [blame] | 869 | |
| 870 | inv->setTypeMask(mask | kRectStaysRect_Mask); |
| 871 | } else { |
| 872 | // translate only |
| 873 | inv->setTranslate(-fMat[kMTransX], -fMat[kMTransY]); |
| 874 | } |
halcanary | 96fcdcc | 2015-08-27 07:41:13 -0700 | [diff] [blame] | 875 | } else { // inv is nullptr, just check if we're invertible |
reed@google.com | e40591d | 2013-01-30 15:47:42 +0000 | [diff] [blame] | 876 | if (!fMat[kMScaleX] || !fMat[kMScaleY]) { |
| 877 | invertible = false; |
| 878 | } |
reed@google.com | 2fb96cc | 2013-01-04 17:02:33 +0000 | [diff] [blame] | 879 | } |
reed@google.com | e40591d | 2013-01-30 15:47:42 +0000 | [diff] [blame] | 880 | return invertible; |
reed@google.com | 2fb96cc | 2013-01-04 17:02:33 +0000 | [diff] [blame] | 881 | } |
reed@google.com | 4a1362a | 2013-01-04 18:52:16 +0000 | [diff] [blame] | 882 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 883 | int isPersp = mask & kPerspective_Mask; |
robertphillips | 20eee3f | 2015-06-19 05:14:26 -0700 | [diff] [blame] | 884 | double invDet = sk_inv_determinant(fMat, isPersp); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 885 | |
robertphillips | 20eee3f | 2015-06-19 05:14:26 -0700 | [diff] [blame] | 886 | if (invDet == 0) { // underflow |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 887 | return false; |
| 888 | } |
| 889 | |
robertphillips | 20eee3f | 2015-06-19 05:14:26 -0700 | [diff] [blame] | 890 | bool applyingInPlace = (inv == this); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 891 | |
robertphillips | 20eee3f | 2015-06-19 05:14:26 -0700 | [diff] [blame] | 892 | SkMatrix* tmp = inv; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 893 | |
robertphillips | 20eee3f | 2015-06-19 05:14:26 -0700 | [diff] [blame] | 894 | SkMatrix storage; |
halcanary | 96fcdcc | 2015-08-27 07:41:13 -0700 | [diff] [blame] | 895 | if (applyingInPlace || nullptr == tmp) { |
robertphillips | 20eee3f | 2015-06-19 05:14:26 -0700 | [diff] [blame] | 896 | tmp = &storage; // we either need to avoid trampling memory or have no memory |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 897 | } |
robertphillips | 20eee3f | 2015-06-19 05:14:26 -0700 | [diff] [blame] | 898 | |
| 899 | ComputeInv(tmp->fMat, fMat, invDet, isPersp); |
| 900 | if (!tmp->isFinite()) { |
| 901 | return false; |
| 902 | } |
| 903 | |
| 904 | tmp->setTypeMask(fTypeMask); |
| 905 | |
| 906 | if (applyingInPlace) { |
| 907 | *inv = storage; // need to copy answer back |
| 908 | } |
| 909 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 910 | return true; |
| 911 | } |
| 912 | |
| 913 | /////////////////////////////////////////////////////////////////////////////// |
| 914 | |
reed | 7da1901 | 2015-03-29 11:58:48 -0700 | [diff] [blame] | 915 | void SkMatrix::Identity_pts(const SkMatrix& m, SkPoint dst[], const SkPoint src[], int count) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 916 | SkASSERT(m.getType() == 0); |
| 917 | |
reed | 7da1901 | 2015-03-29 11:58:48 -0700 | [diff] [blame] | 918 | if (dst != src && count > 0) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 919 | memcpy(dst, src, count * sizeof(SkPoint)); |
reed | 7da1901 | 2015-03-29 11:58:48 -0700 | [diff] [blame] | 920 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 921 | } |
| 922 | |
reed | 7da1901 | 2015-03-29 11:58:48 -0700 | [diff] [blame] | 923 | void SkMatrix::Trans_pts(const SkMatrix& m, SkPoint dst[], const SkPoint src[], int count) { |
mtklein | 567118f | 2016-04-14 14:07:02 -0700 | [diff] [blame] | 924 | SkASSERT(m.getType() <= SkMatrix::kTranslate_Mask); |
| 925 | if (count > 0) { |
| 926 | SkScalar tx = m.getTranslateX(); |
| 927 | SkScalar ty = m.getTranslateY(); |
| 928 | if (count & 1) { |
| 929 | dst->fX = src->fX + tx; |
| 930 | dst->fY = src->fY + ty; |
| 931 | src += 1; |
| 932 | dst += 1; |
| 933 | } |
| 934 | Sk4s trans4(tx, ty, tx, ty); |
| 935 | count >>= 1; |
| 936 | if (count & 1) { |
| 937 | (Sk4s::Load(src) + trans4).store(dst); |
| 938 | src += 2; |
| 939 | dst += 2; |
| 940 | } |
| 941 | count >>= 1; |
| 942 | for (int i = 0; i < count; ++i) { |
| 943 | (Sk4s::Load(src+0) + trans4).store(dst+0); |
| 944 | (Sk4s::Load(src+2) + trans4).store(dst+2); |
| 945 | src += 4; |
| 946 | dst += 4; |
| 947 | } |
| 948 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 949 | } |
| 950 | |
reed | 7da1901 | 2015-03-29 11:58:48 -0700 | [diff] [blame] | 951 | void SkMatrix::Scale_pts(const SkMatrix& m, SkPoint dst[], const SkPoint src[], int count) { |
mtklein | 567118f | 2016-04-14 14:07:02 -0700 | [diff] [blame] | 952 | SkASSERT(m.getType() <= (SkMatrix::kScale_Mask | SkMatrix::kTranslate_Mask)); |
| 953 | if (count > 0) { |
| 954 | SkScalar tx = m.getTranslateX(); |
| 955 | SkScalar ty = m.getTranslateY(); |
| 956 | SkScalar sx = m.getScaleX(); |
| 957 | SkScalar sy = m.getScaleY(); |
| 958 | if (count & 1) { |
| 959 | dst->fX = src->fX * sx + tx; |
| 960 | dst->fY = src->fY * sy + ty; |
| 961 | src += 1; |
| 962 | dst += 1; |
| 963 | } |
| 964 | Sk4s trans4(tx, ty, tx, ty); |
| 965 | Sk4s scale4(sx, sy, sx, sy); |
| 966 | count >>= 1; |
| 967 | if (count & 1) { |
| 968 | (Sk4s::Load(src) * scale4 + trans4).store(dst); |
| 969 | src += 2; |
| 970 | dst += 2; |
| 971 | } |
| 972 | count >>= 1; |
| 973 | for (int i = 0; i < count; ++i) { |
| 974 | (Sk4s::Load(src+0) * scale4 + trans4).store(dst+0); |
| 975 | (Sk4s::Load(src+2) * scale4 + trans4).store(dst+2); |
| 976 | src += 4; |
| 977 | dst += 4; |
| 978 | } |
| 979 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 980 | } |
| 981 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 982 | void SkMatrix::Persp_pts(const SkMatrix& m, SkPoint dst[], |
| 983 | const SkPoint src[], int count) { |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 984 | SkASSERT(m.hasPerspective()); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 985 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 986 | if (count > 0) { |
| 987 | do { |
| 988 | SkScalar sy = src->fY; |
| 989 | SkScalar sx = src->fX; |
| 990 | src += 1; |
| 991 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 992 | SkScalar x = sdot(sx, m.fMat[kMScaleX], sy, m.fMat[kMSkewX]) + m.fMat[kMTransX]; |
| 993 | SkScalar y = sdot(sx, m.fMat[kMSkewY], sy, m.fMat[kMScaleY]) + m.fMat[kMTransY]; |
| 994 | #ifdef SK_LEGACY_MATRIX_MATH_ORDER |
| 995 | SkScalar z = sx * m.fMat[kMPersp0] + (sy * m.fMat[kMPersp1] + m.fMat[kMPersp2]); |
| 996 | #else |
| 997 | SkScalar z = sdot(sx, m.fMat[kMPersp0], sy, m.fMat[kMPersp1]) + m.fMat[kMPersp2]; |
| 998 | #endif |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 999 | if (z) { |
| 1000 | z = SkScalarFastInvert(z); |
| 1001 | } |
| 1002 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1003 | dst->fY = y * z; |
| 1004 | dst->fX = x * z; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1005 | dst += 1; |
| 1006 | } while (--count); |
| 1007 | } |
| 1008 | } |
| 1009 | |
reed | d8b34c2 | 2015-03-27 14:00:41 -0700 | [diff] [blame] | 1010 | void SkMatrix::Affine_vpts(const SkMatrix& m, SkPoint dst[], const SkPoint src[], int count) { |
mtklein | 567118f | 2016-04-14 14:07:02 -0700 | [diff] [blame] | 1011 | SkASSERT(m.getType() != SkMatrix::kPerspective_Mask); |
| 1012 | if (count > 0) { |
| 1013 | SkScalar tx = m.getTranslateX(); |
| 1014 | SkScalar ty = m.getTranslateY(); |
| 1015 | SkScalar sx = m.getScaleX(); |
| 1016 | SkScalar sy = m.getScaleY(); |
| 1017 | SkScalar kx = m.getSkewX(); |
| 1018 | SkScalar ky = m.getSkewY(); |
| 1019 | if (count & 1) { |
| 1020 | dst->set(src->fX * sx + src->fY * kx + tx, |
| 1021 | src->fX * ky + src->fY * sy + ty); |
| 1022 | src += 1; |
| 1023 | dst += 1; |
| 1024 | } |
| 1025 | Sk4s trans4(tx, ty, tx, ty); |
| 1026 | Sk4s scale4(sx, sy, sx, sy); |
| 1027 | Sk4s skew4(kx, ky, kx, ky); // applied to swizzle of src4 |
| 1028 | count >>= 1; |
| 1029 | for (int i = 0; i < count; ++i) { |
| 1030 | Sk4s src4 = Sk4s::Load(src); |
| 1031 | Sk4s swz4 = SkNx_shuffle<1,0,3,2>(src4); // y0 x0, y1 x1 |
| 1032 | (src4 * scale4 + swz4 * skew4 + trans4).store(dst); |
| 1033 | src += 2; |
| 1034 | dst += 2; |
| 1035 | } |
| 1036 | } |
reed | 8010632 | 2015-03-23 08:15:14 -0700 | [diff] [blame] | 1037 | } |
| 1038 | |
reed | 7da1901 | 2015-03-29 11:58:48 -0700 | [diff] [blame] | 1039 | const SkMatrix::MapPtsProc SkMatrix::gMapPtsProcs[] = { |
| 1040 | SkMatrix::Identity_pts, SkMatrix::Trans_pts, |
| 1041 | SkMatrix::Scale_pts, SkMatrix::Scale_pts, |
reed | d8b34c2 | 2015-03-27 14:00:41 -0700 | [diff] [blame] | 1042 | SkMatrix::Affine_vpts, SkMatrix::Affine_vpts, |
| 1043 | SkMatrix::Affine_vpts, SkMatrix::Affine_vpts, |
| 1044 | // repeat the persp proc 8 times |
| 1045 | SkMatrix::Persp_pts, SkMatrix::Persp_pts, |
| 1046 | SkMatrix::Persp_pts, SkMatrix::Persp_pts, |
| 1047 | SkMatrix::Persp_pts, SkMatrix::Persp_pts, |
| 1048 | SkMatrix::Persp_pts, SkMatrix::Persp_pts |
| 1049 | }; |
| 1050 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1051 | /////////////////////////////////////////////////////////////////////////////// |
| 1052 | |
egdaniel@google.com | 259fbaf | 2013-08-15 21:12:11 +0000 | [diff] [blame] | 1053 | void SkMatrix::mapHomogeneousPoints(SkScalar dst[], const SkScalar src[], int count) const { |
| 1054 | SkASSERT((dst && src && count > 0) || 0 == count); |
| 1055 | // no partial overlap |
qiankun.miao | 0899696 | 2015-01-12 07:50:25 -0800 | [diff] [blame] | 1056 | SkASSERT(src == dst || &dst[3*count] <= &src[0] || &src[3*count] <= &dst[0]); |
egdaniel@google.com | 259fbaf | 2013-08-15 21:12:11 +0000 | [diff] [blame] | 1057 | |
| 1058 | if (count > 0) { |
| 1059 | if (this->isIdentity()) { |
| 1060 | memcpy(dst, src, 3*count*sizeof(SkScalar)); |
| 1061 | return; |
| 1062 | } |
| 1063 | do { |
| 1064 | SkScalar sx = src[0]; |
| 1065 | SkScalar sy = src[1]; |
| 1066 | SkScalar sw = src[2]; |
| 1067 | src += 3; |
| 1068 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1069 | SkScalar x = sdot(sx, fMat[kMScaleX], sy, fMat[kMSkewX], sw, fMat[kMTransX]); |
| 1070 | SkScalar y = sdot(sx, fMat[kMSkewY], sy, fMat[kMScaleY], sw, fMat[kMTransY]); |
| 1071 | SkScalar w = sdot(sx, fMat[kMPersp0], sy, fMat[kMPersp1], sw, fMat[kMPersp2]); |
egdaniel@google.com | 259fbaf | 2013-08-15 21:12:11 +0000 | [diff] [blame] | 1072 | |
| 1073 | dst[0] = x; |
| 1074 | dst[1] = y; |
| 1075 | dst[2] = w; |
| 1076 | dst += 3; |
| 1077 | } while (--count); |
| 1078 | } |
| 1079 | } |
| 1080 | |
| 1081 | /////////////////////////////////////////////////////////////////////////////// |
| 1082 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1083 | void SkMatrix::mapVectors(SkPoint dst[], const SkPoint src[], int count) const { |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 1084 | if (this->hasPerspective()) { |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1085 | SkPoint origin; |
| 1086 | |
| 1087 | MapXYProc proc = this->getMapXYProc(); |
| 1088 | proc(*this, 0, 0, &origin); |
| 1089 | |
| 1090 | for (int i = count - 1; i >= 0; --i) { |
| 1091 | SkPoint tmp; |
| 1092 | |
| 1093 | proc(*this, src[i].fX, src[i].fY, &tmp); |
| 1094 | dst[i].set(tmp.fX - origin.fX, tmp.fY - origin.fY); |
| 1095 | } |
| 1096 | } else { |
| 1097 | SkMatrix tmp = *this; |
| 1098 | |
| 1099 | tmp.fMat[kMTransX] = tmp.fMat[kMTransY] = 0; |
| 1100 | tmp.clearTypeMask(kTranslate_Mask); |
| 1101 | tmp.mapPoints(dst, src, count); |
| 1102 | } |
| 1103 | } |
| 1104 | |
reed | a39667c | 2016-08-22 06:39:49 -0700 | [diff] [blame] | 1105 | static Sk4f sort_as_rect(const Sk4f& ltrb) { |
| 1106 | Sk4f rblt(ltrb[2], ltrb[3], ltrb[0], ltrb[1]); |
| 1107 | Sk4f min = Sk4f::Min(ltrb, rblt); |
| 1108 | Sk4f max = Sk4f::Max(ltrb, rblt); |
| 1109 | // We can extract either pair [0,1] or [2,3] from min and max and be correct, but on |
| 1110 | // ARM this sequence generates the fastest (a single instruction). |
| 1111 | return Sk4f(min[2], min[3], max[0], max[1]); |
| 1112 | } |
| 1113 | |
halcanary | c5769b2 | 2016-08-10 07:13:21 -0700 | [diff] [blame] | 1114 | void SkMatrix::mapRectScaleTranslate(SkRect* dst, const SkRect& src) const { |
| 1115 | SkASSERT(dst); |
reed | 47df89e | 2016-06-30 06:38:54 -0700 | [diff] [blame] | 1116 | SkASSERT(this->isScaleTranslate()); |
mtklein | cbdf007 | 2016-08-19 09:05:27 -0700 | [diff] [blame] | 1117 | |
reed | 47df89e | 2016-06-30 06:38:54 -0700 | [diff] [blame] | 1118 | SkScalar sx = fMat[kMScaleX]; |
| 1119 | SkScalar sy = fMat[kMScaleY]; |
| 1120 | SkScalar tx = fMat[kMTransX]; |
| 1121 | SkScalar ty = fMat[kMTransY]; |
| 1122 | Sk4f scale(sx, sy, sx, sy); |
| 1123 | Sk4f trans(tx, ty, tx, ty); |
reed | a39667c | 2016-08-22 06:39:49 -0700 | [diff] [blame] | 1124 | sort_as_rect(Sk4f::Load(&src.fLeft) * scale + trans).store(&dst->fLeft); |
reed | 47df89e | 2016-06-30 06:38:54 -0700 | [diff] [blame] | 1125 | } |
| 1126 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1127 | bool SkMatrix::mapRect(SkRect* dst, const SkRect& src) const { |
caryclark | a10742c | 2014-09-18 11:00:40 -0700 | [diff] [blame] | 1128 | SkASSERT(dst); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1129 | |
reed | a39667c | 2016-08-22 06:39:49 -0700 | [diff] [blame] | 1130 | if (this->getType() <= kTranslate_Mask) { |
| 1131 | SkScalar tx = fMat[kMTransX]; |
| 1132 | SkScalar ty = fMat[kMTransY]; |
| 1133 | Sk4f trans(tx, ty, tx, ty); |
| 1134 | sort_as_rect(Sk4f::Load(&src.fLeft) + trans).store(&dst->fLeft); |
| 1135 | return true; |
| 1136 | } |
reed | 47df89e | 2016-06-30 06:38:54 -0700 | [diff] [blame] | 1137 | if (this->isScaleTranslate()) { |
halcanary | c5769b2 | 2016-08-10 07:13:21 -0700 | [diff] [blame] | 1138 | this->mapRectScaleTranslate(dst, src); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1139 | return true; |
| 1140 | } else { |
| 1141 | SkPoint quad[4]; |
| 1142 | |
| 1143 | src.toQuad(quad); |
| 1144 | this->mapPoints(quad, quad, 4); |
| 1145 | dst->set(quad, 4); |
| 1146 | return false; |
| 1147 | } |
| 1148 | } |
| 1149 | |
| 1150 | SkScalar SkMatrix::mapRadius(SkScalar radius) const { |
| 1151 | SkVector vec[2]; |
| 1152 | |
| 1153 | vec[0].set(radius, 0); |
| 1154 | vec[1].set(0, radius); |
| 1155 | this->mapVectors(vec, 2); |
| 1156 | |
| 1157 | SkScalar d0 = vec[0].length(); |
| 1158 | SkScalar d1 = vec[1].length(); |
| 1159 | |
reed@google.com | 6e252d4 | 2013-12-18 05:06:52 +0000 | [diff] [blame] | 1160 | // return geometric mean |
| 1161 | return SkScalarSqrt(d0 * d1); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1162 | } |
| 1163 | |
| 1164 | /////////////////////////////////////////////////////////////////////////////// |
| 1165 | |
| 1166 | void SkMatrix::Persp_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1167 | SkPoint* pt) { |
tomhudson@google.com | 8d43018 | 2011-06-06 19:11:19 +0000 | [diff] [blame] | 1168 | SkASSERT(m.hasPerspective()); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1169 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1170 | SkScalar x = sdot(sx, m.fMat[kMScaleX], sy, m.fMat[kMSkewX]) + m.fMat[kMTransX]; |
| 1171 | SkScalar y = sdot(sx, m.fMat[kMSkewY], sy, m.fMat[kMScaleY]) + m.fMat[kMTransY]; |
| 1172 | SkScalar z = sdot(sx, m.fMat[kMPersp0], sy, m.fMat[kMPersp1]) + m.fMat[kMPersp2]; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1173 | if (z) { |
| 1174 | z = SkScalarFastInvert(z); |
| 1175 | } |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1176 | pt->fX = x * z; |
| 1177 | pt->fY = y * z; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1178 | } |
| 1179 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1180 | void SkMatrix::RotTrans_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1181 | SkPoint* pt) { |
| 1182 | SkASSERT((m.getType() & (kAffine_Mask | kPerspective_Mask)) == kAffine_Mask); |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 1183 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1184 | #ifdef SK_LEGACY_MATRIX_MATH_ORDER |
| 1185 | pt->fX = sx * m.fMat[kMScaleX] + (sy * m.fMat[kMSkewX] + m.fMat[kMTransX]); |
| 1186 | pt->fY = sx * m.fMat[kMSkewY] + (sy * m.fMat[kMScaleY] + m.fMat[kMTransY]); |
| 1187 | #else |
| 1188 | pt->fX = sdot(sx, m.fMat[kMScaleX], sy, m.fMat[kMSkewX]) + m.fMat[kMTransX]; |
| 1189 | pt->fY = sdot(sx, m.fMat[kMSkewY], sy, m.fMat[kMScaleY]) + m.fMat[kMTransY]; |
| 1190 | #endif |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1191 | } |
| 1192 | |
| 1193 | void SkMatrix::Rot_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1194 | SkPoint* pt) { |
| 1195 | SkASSERT((m.getType() & (kAffine_Mask | kPerspective_Mask))== kAffine_Mask); |
| 1196 | SkASSERT(0 == m.fMat[kMTransX]); |
| 1197 | SkASSERT(0 == m.fMat[kMTransY]); |
| 1198 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1199 | #ifdef SK_LEGACY_MATRIX_MATH_ORDER |
| 1200 | pt->fX = sx * m.fMat[kMScaleX] + (sy * m.fMat[kMSkewX] + m.fMat[kMTransX]); |
| 1201 | pt->fY = sx * m.fMat[kMSkewY] + (sy * m.fMat[kMScaleY] + m.fMat[kMTransY]); |
| 1202 | #else |
| 1203 | pt->fX = sdot(sx, m.fMat[kMScaleX], sy, m.fMat[kMSkewX]) + m.fMat[kMTransX]; |
| 1204 | pt->fY = sdot(sx, m.fMat[kMSkewY], sy, m.fMat[kMScaleY]) + m.fMat[kMTransY]; |
| 1205 | #endif |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1206 | } |
| 1207 | |
| 1208 | void SkMatrix::ScaleTrans_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1209 | SkPoint* pt) { |
| 1210 | SkASSERT((m.getType() & (kScale_Mask | kAffine_Mask | kPerspective_Mask)) |
| 1211 | == kScale_Mask); |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 1212 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1213 | pt->fX = sx * m.fMat[kMScaleX] + m.fMat[kMTransX]; |
| 1214 | pt->fY = sy * m.fMat[kMScaleY] + m.fMat[kMTransY]; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1215 | } |
| 1216 | |
| 1217 | void SkMatrix::Scale_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1218 | SkPoint* pt) { |
| 1219 | SkASSERT((m.getType() & (kScale_Mask | kAffine_Mask | kPerspective_Mask)) |
| 1220 | == kScale_Mask); |
| 1221 | SkASSERT(0 == m.fMat[kMTransX]); |
| 1222 | SkASSERT(0 == m.fMat[kMTransY]); |
| 1223 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1224 | pt->fX = sx * m.fMat[kMScaleX]; |
| 1225 | pt->fY = sy * m.fMat[kMScaleY]; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1226 | } |
| 1227 | |
| 1228 | void SkMatrix::Trans_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1229 | SkPoint* pt) { |
| 1230 | SkASSERT(m.getType() == kTranslate_Mask); |
| 1231 | |
| 1232 | pt->fX = sx + m.fMat[kMTransX]; |
| 1233 | pt->fY = sy + m.fMat[kMTransY]; |
| 1234 | } |
| 1235 | |
| 1236 | void SkMatrix::Identity_xy(const SkMatrix& m, SkScalar sx, SkScalar sy, |
| 1237 | SkPoint* pt) { |
| 1238 | SkASSERT(0 == m.getType()); |
| 1239 | |
| 1240 | pt->fX = sx; |
| 1241 | pt->fY = sy; |
| 1242 | } |
| 1243 | |
| 1244 | const SkMatrix::MapXYProc SkMatrix::gMapXYProcs[] = { |
| 1245 | SkMatrix::Identity_xy, SkMatrix::Trans_xy, |
| 1246 | SkMatrix::Scale_xy, SkMatrix::ScaleTrans_xy, |
| 1247 | SkMatrix::Rot_xy, SkMatrix::RotTrans_xy, |
| 1248 | SkMatrix::Rot_xy, SkMatrix::RotTrans_xy, |
| 1249 | // repeat the persp proc 8 times |
| 1250 | SkMatrix::Persp_xy, SkMatrix::Persp_xy, |
| 1251 | SkMatrix::Persp_xy, SkMatrix::Persp_xy, |
| 1252 | SkMatrix::Persp_xy, SkMatrix::Persp_xy, |
| 1253 | SkMatrix::Persp_xy, SkMatrix::Persp_xy |
| 1254 | }; |
| 1255 | |
| 1256 | /////////////////////////////////////////////////////////////////////////////// |
| 1257 | |
| 1258 | // if its nearly zero (just made up 26, perhaps it should be bigger or smaller) |
reed@google.com | 83c6a22 | 2013-12-18 05:19:22 +0000 | [diff] [blame] | 1259 | #define PerspNearlyZero(x) SkScalarNearlyZero(x, (1.0f / (1 << 26))) |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1260 | |
benjaminwagner | 8e17556 | 2016-02-16 10:09:40 -0800 | [diff] [blame] | 1261 | bool SkMatrix::isFixedStepInX() const { |
| 1262 | return PerspNearlyZero(fMat[kMPersp0]); |
| 1263 | } |
| 1264 | |
| 1265 | SkVector SkMatrix::fixedStepInX(SkScalar y) const { |
| 1266 | SkASSERT(PerspNearlyZero(fMat[kMPersp0])); |
| 1267 | if (PerspNearlyZero(fMat[kMPersp1]) && |
| 1268 | PerspNearlyZero(fMat[kMPersp2] - 1)) { |
| 1269 | return SkVector::Make(fMat[kMScaleX], fMat[kMSkewY]); |
| 1270 | } else { |
| 1271 | SkScalar z = y * fMat[kMPersp1] + fMat[kMPersp2]; |
| 1272 | return SkVector::Make(fMat[kMScaleX] / z, fMat[kMSkewY] / z); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1273 | } |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1274 | } |
| 1275 | |
| 1276 | /////////////////////////////////////////////////////////////////////////////// |
| 1277 | |
| 1278 | #include "SkPerspIter.h" |
| 1279 | |
| 1280 | SkPerspIter::SkPerspIter(const SkMatrix& m, SkScalar x0, SkScalar y0, int count) |
| 1281 | : fMatrix(m), fSX(x0), fSY(y0), fCount(count) { |
| 1282 | SkPoint pt; |
| 1283 | |
| 1284 | SkMatrix::Persp_xy(m, x0, y0, &pt); |
| 1285 | fX = SkScalarToFixed(pt.fX); |
| 1286 | fY = SkScalarToFixed(pt.fY); |
| 1287 | } |
| 1288 | |
| 1289 | int SkPerspIter::next() { |
| 1290 | int n = fCount; |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 1291 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1292 | if (0 == n) { |
| 1293 | return 0; |
| 1294 | } |
| 1295 | SkPoint pt; |
| 1296 | SkFixed x = fX; |
| 1297 | SkFixed y = fY; |
| 1298 | SkFixed dx, dy; |
| 1299 | |
| 1300 | if (n >= kCount) { |
| 1301 | n = kCount; |
| 1302 | fSX += SkIntToScalar(kCount); |
| 1303 | SkMatrix::Persp_xy(fMatrix, fSX, fSY, &pt); |
| 1304 | fX = SkScalarToFixed(pt.fX); |
| 1305 | fY = SkScalarToFixed(pt.fY); |
| 1306 | dx = (fX - x) >> kShift; |
| 1307 | dy = (fY - y) >> kShift; |
| 1308 | } else { |
| 1309 | fSX += SkIntToScalar(n); |
| 1310 | SkMatrix::Persp_xy(fMatrix, fSX, fSY, &pt); |
| 1311 | fX = SkScalarToFixed(pt.fX); |
| 1312 | fY = SkScalarToFixed(pt.fY); |
| 1313 | dx = (fX - x) / n; |
| 1314 | dy = (fY - y) / n; |
| 1315 | } |
| 1316 | |
| 1317 | SkFixed* p = fStorage; |
| 1318 | for (int i = 0; i < n; i++) { |
| 1319 | *p++ = x; x += dx; |
| 1320 | *p++ = y; y += dy; |
| 1321 | } |
rmistry@google.com | fbfcd56 | 2012-08-23 18:09:54 +0000 | [diff] [blame] | 1322 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1323 | fCount -= n; |
| 1324 | return n; |
| 1325 | } |
| 1326 | |
| 1327 | /////////////////////////////////////////////////////////////////////////////// |
| 1328 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1329 | static inline bool checkForZero(float x) { |
| 1330 | return x*x == 0; |
| 1331 | } |
| 1332 | |
| 1333 | static inline bool poly_to_point(SkPoint* pt, const SkPoint poly[], int count) { |
| 1334 | float x = 1, y = 1; |
| 1335 | SkPoint pt1, pt2; |
| 1336 | |
| 1337 | if (count > 1) { |
| 1338 | pt1.fX = poly[1].fX - poly[0].fX; |
| 1339 | pt1.fY = poly[1].fY - poly[0].fY; |
| 1340 | y = SkPoint::Length(pt1.fX, pt1.fY); |
| 1341 | if (checkForZero(y)) { |
| 1342 | return false; |
| 1343 | } |
| 1344 | switch (count) { |
| 1345 | case 2: |
| 1346 | break; |
| 1347 | case 3: |
| 1348 | pt2.fX = poly[0].fY - poly[2].fY; |
| 1349 | pt2.fY = poly[2].fX - poly[0].fX; |
| 1350 | goto CALC_X; |
| 1351 | default: |
| 1352 | pt2.fX = poly[0].fY - poly[3].fY; |
| 1353 | pt2.fY = poly[3].fX - poly[0].fX; |
| 1354 | CALC_X: |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1355 | x = sdot(pt1.fX, pt2.fX, pt1.fY, pt2.fY) / y; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1356 | break; |
| 1357 | } |
| 1358 | } |
| 1359 | pt->set(x, y); |
| 1360 | return true; |
| 1361 | } |
| 1362 | |
| 1363 | bool SkMatrix::Poly2Proc(const SkPoint srcPt[], SkMatrix* dst, |
| 1364 | const SkPoint& scale) { |
| 1365 | float invScale = 1 / scale.fY; |
| 1366 | |
| 1367 | dst->fMat[kMScaleX] = (srcPt[1].fY - srcPt[0].fY) * invScale; |
| 1368 | dst->fMat[kMSkewY] = (srcPt[0].fX - srcPt[1].fX) * invScale; |
| 1369 | dst->fMat[kMPersp0] = 0; |
| 1370 | dst->fMat[kMSkewX] = (srcPt[1].fX - srcPt[0].fX) * invScale; |
| 1371 | dst->fMat[kMScaleY] = (srcPt[1].fY - srcPt[0].fY) * invScale; |
| 1372 | dst->fMat[kMPersp1] = 0; |
| 1373 | dst->fMat[kMTransX] = srcPt[0].fX; |
| 1374 | dst->fMat[kMTransY] = srcPt[0].fY; |
| 1375 | dst->fMat[kMPersp2] = 1; |
| 1376 | dst->setTypeMask(kUnknown_Mask); |
| 1377 | return true; |
| 1378 | } |
| 1379 | |
| 1380 | bool SkMatrix::Poly3Proc(const SkPoint srcPt[], SkMatrix* dst, |
| 1381 | const SkPoint& scale) { |
| 1382 | float invScale = 1 / scale.fX; |
| 1383 | dst->fMat[kMScaleX] = (srcPt[2].fX - srcPt[0].fX) * invScale; |
| 1384 | dst->fMat[kMSkewY] = (srcPt[2].fY - srcPt[0].fY) * invScale; |
| 1385 | dst->fMat[kMPersp0] = 0; |
| 1386 | |
| 1387 | invScale = 1 / scale.fY; |
| 1388 | dst->fMat[kMSkewX] = (srcPt[1].fX - srcPt[0].fX) * invScale; |
| 1389 | dst->fMat[kMScaleY] = (srcPt[1].fY - srcPt[0].fY) * invScale; |
| 1390 | dst->fMat[kMPersp1] = 0; |
| 1391 | |
| 1392 | dst->fMat[kMTransX] = srcPt[0].fX; |
| 1393 | dst->fMat[kMTransY] = srcPt[0].fY; |
| 1394 | dst->fMat[kMPersp2] = 1; |
| 1395 | dst->setTypeMask(kUnknown_Mask); |
| 1396 | return true; |
| 1397 | } |
| 1398 | |
| 1399 | bool SkMatrix::Poly4Proc(const SkPoint srcPt[], SkMatrix* dst, |
| 1400 | const SkPoint& scale) { |
| 1401 | float a1, a2; |
| 1402 | float x0, y0, x1, y1, x2, y2; |
| 1403 | |
| 1404 | x0 = srcPt[2].fX - srcPt[0].fX; |
| 1405 | y0 = srcPt[2].fY - srcPt[0].fY; |
| 1406 | x1 = srcPt[2].fX - srcPt[1].fX; |
| 1407 | y1 = srcPt[2].fY - srcPt[1].fY; |
| 1408 | x2 = srcPt[2].fX - srcPt[3].fX; |
| 1409 | y2 = srcPt[2].fY - srcPt[3].fY; |
| 1410 | |
| 1411 | /* check if abs(x2) > abs(y2) */ |
| 1412 | if ( x2 > 0 ? y2 > 0 ? x2 > y2 : x2 > -y2 : y2 > 0 ? -x2 > y2 : x2 < y2) { |
| 1413 | float denom = SkScalarMulDiv(x1, y2, x2) - y1; |
| 1414 | if (checkForZero(denom)) { |
| 1415 | return false; |
| 1416 | } |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1417 | a1 = (SkScalarMulDiv(x0 - x1, y2, x2) - y0 + y1) / denom; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1418 | } else { |
| 1419 | float denom = x1 - SkScalarMulDiv(y1, x2, y2); |
| 1420 | if (checkForZero(denom)) { |
| 1421 | return false; |
| 1422 | } |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1423 | a1 = (x0 - x1 - SkScalarMulDiv(y0 - y1, x2, y2)) / denom; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1424 | } |
| 1425 | |
| 1426 | /* check if abs(x1) > abs(y1) */ |
| 1427 | if ( x1 > 0 ? y1 > 0 ? x1 > y1 : x1 > -y1 : y1 > 0 ? -x1 > y1 : x1 < y1) { |
| 1428 | float denom = y2 - SkScalarMulDiv(x2, y1, x1); |
| 1429 | if (checkForZero(denom)) { |
| 1430 | return false; |
| 1431 | } |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1432 | a2 = (y0 - y2 - SkScalarMulDiv(x0 - x2, y1, x1)) / denom; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1433 | } else { |
| 1434 | float denom = SkScalarMulDiv(y2, x1, y1) - x2; |
| 1435 | if (checkForZero(denom)) { |
| 1436 | return false; |
| 1437 | } |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1438 | a2 = (SkScalarMulDiv(y0 - y2, x1, y1) - x0 + x2) / denom; |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1439 | } |
| 1440 | |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1441 | float invScale = SkScalarInvert(scale.fX); |
| 1442 | dst->fMat[kMScaleX] = (a2 * srcPt[3].fX + srcPt[3].fX - srcPt[0].fX) * invScale; |
| 1443 | dst->fMat[kMSkewY] = (a2 * srcPt[3].fY + srcPt[3].fY - srcPt[0].fY) * invScale; |
| 1444 | dst->fMat[kMPersp0] = a2 * invScale; |
| 1445 | |
| 1446 | invScale = SkScalarInvert(scale.fY); |
| 1447 | dst->fMat[kMSkewX] = (a1 * srcPt[1].fX + srcPt[1].fX - srcPt[0].fX) * invScale; |
| 1448 | dst->fMat[kMScaleY] = (a1 * srcPt[1].fY + srcPt[1].fY - srcPt[0].fY) * invScale; |
| 1449 | dst->fMat[kMPersp1] = a1 * invScale; |
| 1450 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1451 | dst->fMat[kMTransX] = srcPt[0].fX; |
| 1452 | dst->fMat[kMTransY] = srcPt[0].fY; |
| 1453 | dst->fMat[kMPersp2] = 1; |
| 1454 | dst->setTypeMask(kUnknown_Mask); |
| 1455 | return true; |
| 1456 | } |
| 1457 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1458 | typedef bool (*PolyMapProc)(const SkPoint[], SkMatrix*, const SkPoint&); |
| 1459 | |
| 1460 | /* Taken from Rob Johnson's original sample code in QuickDraw GX |
| 1461 | */ |
| 1462 | bool SkMatrix::setPolyToPoly(const SkPoint src[], const SkPoint dst[], |
| 1463 | int count) { |
| 1464 | if ((unsigned)count > 4) { |
| 1465 | SkDebugf("--- SkMatrix::setPolyToPoly count out of range %d\n", count); |
| 1466 | return false; |
| 1467 | } |
| 1468 | |
| 1469 | if (0 == count) { |
| 1470 | this->reset(); |
| 1471 | return true; |
| 1472 | } |
| 1473 | if (1 == count) { |
| 1474 | this->setTranslate(dst[0].fX - src[0].fX, dst[0].fY - src[0].fY); |
| 1475 | return true; |
| 1476 | } |
| 1477 | |
| 1478 | SkPoint scale; |
| 1479 | if (!poly_to_point(&scale, src, count) || |
| 1480 | SkScalarNearlyZero(scale.fX) || |
| 1481 | SkScalarNearlyZero(scale.fY)) { |
| 1482 | return false; |
| 1483 | } |
| 1484 | |
| 1485 | static const PolyMapProc gPolyMapProcs[] = { |
| 1486 | SkMatrix::Poly2Proc, SkMatrix::Poly3Proc, SkMatrix::Poly4Proc |
| 1487 | }; |
| 1488 | PolyMapProc proc = gPolyMapProcs[count - 2]; |
| 1489 | |
| 1490 | SkMatrix tempMap, result; |
| 1491 | tempMap.setTypeMask(kUnknown_Mask); |
| 1492 | |
| 1493 | if (!proc(src, &tempMap, scale)) { |
| 1494 | return false; |
| 1495 | } |
| 1496 | if (!tempMap.invert(&result)) { |
| 1497 | return false; |
| 1498 | } |
| 1499 | if (!proc(dst, &tempMap, scale)) { |
| 1500 | return false; |
| 1501 | } |
commit-bot@chromium.org | 9236238 | 2014-03-18 12:51:48 +0000 | [diff] [blame] | 1502 | this->setConcat(tempMap, result); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1503 | return true; |
| 1504 | } |
| 1505 | |
| 1506 | /////////////////////////////////////////////////////////////////////////////// |
| 1507 | |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1508 | enum MinMaxOrBoth { |
| 1509 | kMin_MinMaxOrBoth, |
| 1510 | kMax_MinMaxOrBoth, |
| 1511 | kBoth_MinMaxOrBoth |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1512 | }; |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1513 | |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1514 | template <MinMaxOrBoth MIN_MAX_OR_BOTH> bool get_scale_factor(SkMatrix::TypeMask typeMask, |
| 1515 | const SkScalar m[9], |
| 1516 | SkScalar results[/*1 or 2*/]) { |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1517 | if (typeMask & SkMatrix::kPerspective_Mask) { |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1518 | return false; |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1519 | } |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1520 | if (SkMatrix::kIdentity_Mask == typeMask) { |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1521 | results[0] = SK_Scalar1; |
| 1522 | if (kBoth_MinMaxOrBoth == MIN_MAX_OR_BOTH) { |
| 1523 | results[1] = SK_Scalar1; |
| 1524 | } |
| 1525 | return true; |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1526 | } |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1527 | if (!(typeMask & SkMatrix::kAffine_Mask)) { |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1528 | if (kMin_MinMaxOrBoth == MIN_MAX_OR_BOTH) { |
| 1529 | results[0] = SkMinScalar(SkScalarAbs(m[SkMatrix::kMScaleX]), |
| 1530 | SkScalarAbs(m[SkMatrix::kMScaleY])); |
| 1531 | } else if (kMax_MinMaxOrBoth == MIN_MAX_OR_BOTH) { |
| 1532 | results[0] = SkMaxScalar(SkScalarAbs(m[SkMatrix::kMScaleX]), |
| 1533 | SkScalarAbs(m[SkMatrix::kMScaleY])); |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1534 | } else { |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1535 | results[0] = SkScalarAbs(m[SkMatrix::kMScaleX]); |
| 1536 | results[1] = SkScalarAbs(m[SkMatrix::kMScaleY]); |
| 1537 | if (results[0] > results[1]) { |
| 1538 | SkTSwap(results[0], results[1]); |
| 1539 | } |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1540 | } |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1541 | return true; |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1542 | } |
| 1543 | // ignore the translation part of the matrix, just look at 2x2 portion. |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1544 | // compute singular values, take largest or smallest abs value. |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1545 | // [a b; b c] = A^T*A |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1546 | SkScalar a = sdot(m[SkMatrix::kMScaleX], m[SkMatrix::kMScaleX], |
| 1547 | m[SkMatrix::kMSkewY], m[SkMatrix::kMSkewY]); |
| 1548 | SkScalar b = sdot(m[SkMatrix::kMScaleX], m[SkMatrix::kMSkewX], |
| 1549 | m[SkMatrix::kMScaleY], m[SkMatrix::kMSkewY]); |
| 1550 | SkScalar c = sdot(m[SkMatrix::kMSkewX], m[SkMatrix::kMSkewX], |
| 1551 | m[SkMatrix::kMScaleY], m[SkMatrix::kMScaleY]); |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1552 | // eigenvalues of A^T*A are the squared singular values of A. |
| 1553 | // characteristic equation is det((A^T*A) - l*I) = 0 |
| 1554 | // l^2 - (a + c)l + (ac-b^2) |
| 1555 | // solve using quadratic equation (divisor is non-zero since l^2 has 1 coeff |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1556 | // and roots are guaranteed to be pos and real). |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1557 | SkScalar bSqd = b * b; |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1558 | // if upper left 2x2 is orthogonal save some math |
jvanverth@google.com | c490f80 | 2013-03-04 13:56:38 +0000 | [diff] [blame] | 1559 | if (bSqd <= SK_ScalarNearlyZero*SK_ScalarNearlyZero) { |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1560 | if (kMin_MinMaxOrBoth == MIN_MAX_OR_BOTH) { |
| 1561 | results[0] = SkMinScalar(a, c); |
| 1562 | } else if (kMax_MinMaxOrBoth == MIN_MAX_OR_BOTH) { |
| 1563 | results[0] = SkMaxScalar(a, c); |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1564 | } else { |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1565 | results[0] = a; |
| 1566 | results[1] = c; |
| 1567 | if (results[0] > results[1]) { |
| 1568 | SkTSwap(results[0], results[1]); |
| 1569 | } |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1570 | } |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1571 | } else { |
bsalomon@google.com | 3839632 | 2011-09-09 19:32:04 +0000 | [diff] [blame] | 1572 | SkScalar aminusc = a - c; |
| 1573 | SkScalar apluscdiv2 = SkScalarHalf(a + c); |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1574 | SkScalar x = SkScalarHalf(SkScalarSqrt(aminusc * aminusc + 4 * bSqd)); |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1575 | if (kMin_MinMaxOrBoth == MIN_MAX_OR_BOTH) { |
| 1576 | results[0] = apluscdiv2 - x; |
| 1577 | } else if (kMax_MinMaxOrBoth == MIN_MAX_OR_BOTH) { |
| 1578 | results[0] = apluscdiv2 + x; |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1579 | } else { |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1580 | results[0] = apluscdiv2 - x; |
| 1581 | results[1] = apluscdiv2 + x; |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1582 | } |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1583 | } |
kolczyk | cea22ae | 2016-07-16 11:52:37 -0700 | [diff] [blame] | 1584 | if (!SkScalarIsFinite(results[0])) { |
bsalomon | ef2c7c7 | 2015-12-17 15:33:13 -0800 | [diff] [blame] | 1585 | return false; |
| 1586 | } |
kolczyk | 718aab1 | 2016-07-19 03:49:14 -0700 | [diff] [blame] | 1587 | // Due to the floating point inaccuracy, there might be an error in a, b, c |
| 1588 | // calculated by sdot, further deepened by subsequent arithmetic operations |
| 1589 | // on them. Therefore, we allow and cap the nearly-zero negative values. |
| 1590 | SkASSERT(results[0] >= -SK_ScalarNearlyZero); |
| 1591 | if (results[0] < 0) { |
kolczyk | cea22ae | 2016-07-16 11:52:37 -0700 | [diff] [blame] | 1592 | results[0] = 0; |
| 1593 | } |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1594 | results[0] = SkScalarSqrt(results[0]); |
| 1595 | if (kBoth_MinMaxOrBoth == MIN_MAX_OR_BOTH) { |
kolczyk | cea22ae | 2016-07-16 11:52:37 -0700 | [diff] [blame] | 1596 | if (!SkScalarIsFinite(results[1])) { |
bsalomon | ef2c7c7 | 2015-12-17 15:33:13 -0800 | [diff] [blame] | 1597 | return false; |
| 1598 | } |
kolczyk | 718aab1 | 2016-07-19 03:49:14 -0700 | [diff] [blame] | 1599 | SkASSERT(results[1] >= -SK_ScalarNearlyZero); |
| 1600 | if (results[1] < 0) { |
kolczyk | cea22ae | 2016-07-16 11:52:37 -0700 | [diff] [blame] | 1601 | results[1] = 0; |
| 1602 | } |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1603 | results[1] = SkScalarSqrt(results[1]); |
| 1604 | } |
| 1605 | return true; |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1606 | } |
| 1607 | |
commit-bot@chromium.org | 1878651 | 2014-05-20 14:53:45 +0000 | [diff] [blame] | 1608 | SkScalar SkMatrix::getMinScale() const { |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1609 | SkScalar factor; |
| 1610 | if (get_scale_factor<kMin_MinMaxOrBoth>(this->getType(), fMat, &factor)) { |
| 1611 | return factor; |
| 1612 | } else { |
| 1613 | return -1; |
| 1614 | } |
commit-bot@chromium.org | cea9abb | 2013-12-09 19:15:37 +0000 | [diff] [blame] | 1615 | } |
| 1616 | |
commit-bot@chromium.org | 1878651 | 2014-05-20 14:53:45 +0000 | [diff] [blame] | 1617 | SkScalar SkMatrix::getMaxScale() const { |
commit-bot@chromium.org | 311a3cd | 2014-05-20 17:02:03 +0000 | [diff] [blame] | 1618 | SkScalar factor; |
| 1619 | if (get_scale_factor<kMax_MinMaxOrBoth>(this->getType(), fMat, &factor)) { |
| 1620 | return factor; |
| 1621 | } else { |
| 1622 | return -1; |
| 1623 | } |
| 1624 | } |
| 1625 | |
| 1626 | bool SkMatrix::getMinMaxScales(SkScalar scaleFactors[2]) const { |
| 1627 | return get_scale_factor<kBoth_MinMaxOrBoth>(this->getType(), fMat, scaleFactors); |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1628 | } |
| 1629 | |
mtklein | 78358bf | 2014-06-02 08:44:27 -0700 | [diff] [blame] | 1630 | namespace { |
| 1631 | |
bungeman | afd7c74 | 2015-08-25 12:05:55 -0700 | [diff] [blame] | 1632 | // SkMatrix is C++11 POD (trivial and standard-layout), but not aggregate (it has private fields). |
| 1633 | struct AggregateMatrix { |
mtklein | ada3635 | 2014-06-02 10:59:35 -0700 | [diff] [blame] | 1634 | SkScalar matrix[9]; |
| 1635 | uint32_t typemask; |
commit-bot@chromium.org | 21a705d | 2013-10-10 21:58:31 +0000 | [diff] [blame] | 1636 | |
mtklein | ada3635 | 2014-06-02 10:59:35 -0700 | [diff] [blame] | 1637 | const SkMatrix& asSkMatrix() const { return *reinterpret_cast<const SkMatrix*>(this); } |
| 1638 | }; |
bungeman | afd7c74 | 2015-08-25 12:05:55 -0700 | [diff] [blame] | 1639 | static_assert(sizeof(AggregateMatrix) == sizeof(SkMatrix), "AggregateMatrix size mismatch."); |
mtklein | 78358bf | 2014-06-02 08:44:27 -0700 | [diff] [blame] | 1640 | |
| 1641 | } // namespace |
| 1642 | |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1643 | const SkMatrix& SkMatrix::I() { |
bungeman | afd7c74 | 2015-08-25 12:05:55 -0700 | [diff] [blame] | 1644 | static_assert(offsetof(SkMatrix,fMat) == offsetof(AggregateMatrix,matrix), "fMat"); |
| 1645 | static_assert(offsetof(SkMatrix,fTypeMask) == offsetof(AggregateMatrix,typemask), "fTypeMask"); |
mtklein | ada3635 | 2014-06-02 10:59:35 -0700 | [diff] [blame] | 1646 | |
bungeman | afd7c74 | 2015-08-25 12:05:55 -0700 | [diff] [blame] | 1647 | static const AggregateMatrix identity = { {SK_Scalar1, 0, 0, |
| 1648 | 0, SK_Scalar1, 0, |
| 1649 | 0, 0, SK_Scalar1 }, |
| 1650 | kIdentity_Mask | kRectStaysRect_Mask}; |
mtklein | ada3635 | 2014-06-02 10:59:35 -0700 | [diff] [blame] | 1651 | SkASSERT(identity.asSkMatrix().isIdentity()); |
| 1652 | return identity.asSkMatrix(); |
tomhudson@google.com | 1f90287 | 2012-06-01 13:15:47 +0000 | [diff] [blame] | 1653 | } |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1654 | |
| 1655 | const SkMatrix& SkMatrix::InvalidMatrix() { |
bungeman | afd7c74 | 2015-08-25 12:05:55 -0700 | [diff] [blame] | 1656 | static_assert(offsetof(SkMatrix,fMat) == offsetof(AggregateMatrix,matrix), "fMat"); |
| 1657 | static_assert(offsetof(SkMatrix,fTypeMask) == offsetof(AggregateMatrix,typemask), "fTypeMask"); |
mtklein | ada3635 | 2014-06-02 10:59:35 -0700 | [diff] [blame] | 1658 | |
bungeman | afd7c74 | 2015-08-25 12:05:55 -0700 | [diff] [blame] | 1659 | static const AggregateMatrix invalid = |
mtklein | ada3635 | 2014-06-02 10:59:35 -0700 | [diff] [blame] | 1660 | { {SK_ScalarMax, SK_ScalarMax, SK_ScalarMax, |
| 1661 | SK_ScalarMax, SK_ScalarMax, SK_ScalarMax, |
| 1662 | SK_ScalarMax, SK_ScalarMax, SK_ScalarMax }, |
| 1663 | kTranslate_Mask | kScale_Mask | kAffine_Mask | kPerspective_Mask }; |
| 1664 | return invalid.asSkMatrix(); |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1665 | } |
| 1666 | |
reed | adf9990 | 2015-03-19 16:10:54 -0700 | [diff] [blame] | 1667 | bool SkMatrix::decomposeScale(SkSize* scale, SkMatrix* remaining) const { |
| 1668 | if (this->hasPerspective()) { |
| 1669 | return false; |
| 1670 | } |
| 1671 | |
| 1672 | const SkScalar sx = SkVector::Length(this->getScaleX(), this->getSkewY()); |
| 1673 | const SkScalar sy = SkVector::Length(this->getSkewX(), this->getScaleY()); |
| 1674 | if (!SkScalarIsFinite(sx) || !SkScalarIsFinite(sy) || |
| 1675 | SkScalarNearlyZero(sx) || SkScalarNearlyZero(sy)) { |
| 1676 | return false; |
| 1677 | } |
| 1678 | |
| 1679 | if (scale) { |
| 1680 | scale->set(sx, sy); |
| 1681 | } |
| 1682 | if (remaining) { |
| 1683 | *remaining = *this; |
| 1684 | remaining->postScale(SkScalarInvert(sx), SkScalarInvert(sy)); |
| 1685 | } |
| 1686 | return true; |
| 1687 | } |
| 1688 | |
bsalomon@google.com | cc4dac3 | 2011-05-10 13:52:42 +0000 | [diff] [blame] | 1689 | /////////////////////////////////////////////////////////////////////////////// |
| 1690 | |
commit-bot@chromium.org | 4faa869 | 2013-11-05 15:46:56 +0000 | [diff] [blame] | 1691 | size_t SkMatrix::writeToMemory(void* buffer) const { |
reed@android.com | 0ad336f | 2009-06-29 16:02:20 +0000 | [diff] [blame] | 1692 | // TODO write less for simple matrices |
commit-bot@chromium.org | 4faa869 | 2013-11-05 15:46:56 +0000 | [diff] [blame] | 1693 | static const size_t sizeInMemory = 9 * sizeof(SkScalar); |
reed@android.com | 0ad336f | 2009-06-29 16:02:20 +0000 | [diff] [blame] | 1694 | if (buffer) { |
commit-bot@chromium.org | 4faa869 | 2013-11-05 15:46:56 +0000 | [diff] [blame] | 1695 | memcpy(buffer, fMat, sizeInMemory); |
reed@android.com | 0ad336f | 2009-06-29 16:02:20 +0000 | [diff] [blame] | 1696 | } |
commit-bot@chromium.org | 4faa869 | 2013-11-05 15:46:56 +0000 | [diff] [blame] | 1697 | return sizeInMemory; |
reed@android.com | 0ad336f | 2009-06-29 16:02:20 +0000 | [diff] [blame] | 1698 | } |
| 1699 | |
commit-bot@chromium.org | 4faa869 | 2013-11-05 15:46:56 +0000 | [diff] [blame] | 1700 | size_t SkMatrix::readFromMemory(const void* buffer, size_t length) { |
| 1701 | static const size_t sizeInMemory = 9 * sizeof(SkScalar); |
| 1702 | if (length < sizeInMemory) { |
| 1703 | return 0; |
| 1704 | } |
reed@android.com | f2b98d6 | 2010-12-20 18:26:13 +0000 | [diff] [blame] | 1705 | if (buffer) { |
commit-bot@chromium.org | 4faa869 | 2013-11-05 15:46:56 +0000 | [diff] [blame] | 1706 | memcpy(fMat, buffer, sizeInMemory); |
reed@android.com | f2b98d6 | 2010-12-20 18:26:13 +0000 | [diff] [blame] | 1707 | this->setTypeMask(kUnknown_Mask); |
| 1708 | } |
commit-bot@chromium.org | 4faa869 | 2013-11-05 15:46:56 +0000 | [diff] [blame] | 1709 | return sizeInMemory; |
reed@android.com | 0ad336f | 2009-06-29 16:02:20 +0000 | [diff] [blame] | 1710 | } |
| 1711 | |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1712 | void SkMatrix::dump() const { |
| 1713 | SkString str; |
robertphillips@google.com | 76f9e93 | 2013-01-15 20:17:47 +0000 | [diff] [blame] | 1714 | this->toString(&str); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1715 | SkDebugf("%s\n", str.c_str()); |
| 1716 | } |
| 1717 | |
robertphillips@google.com | 76f9e93 | 2013-01-15 20:17:47 +0000 | [diff] [blame] | 1718 | void SkMatrix::toString(SkString* str) const { |
| 1719 | str->appendf("[%8.4f %8.4f %8.4f][%8.4f %8.4f %8.4f][%8.4f %8.4f %8.4f]", |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1720 | fMat[0], fMat[1], fMat[2], fMat[3], fMat[4], fMat[5], |
| 1721 | fMat[6], fMat[7], fMat[8]); |
reed@android.com | 8a1c16f | 2008-12-17 15:59:43 +0000 | [diff] [blame] | 1722 | } |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1723 | |
| 1724 | /////////////////////////////////////////////////////////////////////////////// |
| 1725 | |
| 1726 | #include "SkMatrixUtils.h" |
| 1727 | |
fmalita | c7e211a | 2016-01-07 10:34:46 -0800 | [diff] [blame] | 1728 | bool SkTreatAsSprite(const SkMatrix& mat, const SkISize& size, const SkPaint& paint) { |
| 1729 | // Our path aa is 2-bits, and our rect aa is 8, so we could use 8, |
| 1730 | // but in practice 4 seems enough (still looks smooth) and allows |
| 1731 | // more slightly fractional cases to fall into the fast (sprite) case. |
| 1732 | static const unsigned kAntiAliasSubpixelBits = 4; |
| 1733 | |
| 1734 | const unsigned subpixelBits = paint.isAntiAlias() ? kAntiAliasSubpixelBits : 0; |
| 1735 | |
reed@google.com | ae57358 | 2013-01-03 15:22:40 +0000 | [diff] [blame] | 1736 | // quick reject on affine or perspective |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1737 | if (mat.getType() & ~(SkMatrix::kScale_Mask | SkMatrix::kTranslate_Mask)) { |
| 1738 | return false; |
| 1739 | } |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1740 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1741 | // quick success check |
| 1742 | if (!subpixelBits && !(mat.getType() & ~SkMatrix::kTranslate_Mask)) { |
| 1743 | return true; |
| 1744 | } |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1745 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1746 | // mapRect supports negative scales, so we eliminate those first |
| 1747 | if (mat.getScaleX() < 0 || mat.getScaleY() < 0) { |
| 1748 | return false; |
| 1749 | } |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1750 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1751 | SkRect dst; |
fmalita | c7e211a | 2016-01-07 10:34:46 -0800 | [diff] [blame] | 1752 | SkIRect isrc = SkIRect::MakeSize(size); |
skia.committer@gmail.com | d9f65e3 | 2013-01-04 12:07:46 +0000 | [diff] [blame] | 1753 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1754 | { |
reed@google.com | ae57358 | 2013-01-03 15:22:40 +0000 | [diff] [blame] | 1755 | SkRect src; |
| 1756 | src.set(isrc); |
| 1757 | mat.mapRect(&dst, src); |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1758 | } |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1759 | |
reed@google.com | ae57358 | 2013-01-03 15:22:40 +0000 | [diff] [blame] | 1760 | // just apply the translate to isrc |
| 1761 | isrc.offset(SkScalarRoundToInt(mat.getTranslateX()), |
| 1762 | SkScalarRoundToInt(mat.getTranslateY())); |
| 1763 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1764 | if (subpixelBits) { |
fmalita | c7e211a | 2016-01-07 10:34:46 -0800 | [diff] [blame] | 1765 | isrc.fLeft = SkLeftShift(isrc.fLeft, subpixelBits); |
| 1766 | isrc.fTop = SkLeftShift(isrc.fTop, subpixelBits); |
| 1767 | isrc.fRight = SkLeftShift(isrc.fRight, subpixelBits); |
| 1768 | isrc.fBottom = SkLeftShift(isrc.fBottom, subpixelBits); |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1769 | |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1770 | const float scale = 1 << subpixelBits; |
| 1771 | dst.fLeft *= scale; |
| 1772 | dst.fTop *= scale; |
| 1773 | dst.fRight *= scale; |
| 1774 | dst.fBottom *= scale; |
| 1775 | } |
skia.committer@gmail.com | 422188f | 2013-01-03 02:01:32 +0000 | [diff] [blame] | 1776 | |
reed@google.com | ae57358 | 2013-01-03 15:22:40 +0000 | [diff] [blame] | 1777 | SkIRect idst; |
reed@google.com | ad51430 | 2013-01-02 20:19:45 +0000 | [diff] [blame] | 1778 | dst.round(&idst); |
| 1779 | return isrc == idst; |
| 1780 | } |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1781 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1782 | // A square matrix M can be decomposed (via polar decomposition) into two matrices -- |
| 1783 | // an orthogonal matrix Q and a symmetric matrix S. In turn we can decompose S into U*W*U^T, |
| 1784 | // where U is another orthogonal matrix and W is a scale matrix. These can be recombined |
| 1785 | // to give M = (Q*U)*W*U^T, i.e., the product of two orthogonal matrices and a scale matrix. |
| 1786 | // |
| 1787 | // The one wrinkle is that traditionally Q may contain a reflection -- the |
| 1788 | // calculation has been rejiggered to put that reflection into W. |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1789 | bool SkDecomposeUpper2x2(const SkMatrix& matrix, |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1790 | SkPoint* rotation1, |
| 1791 | SkPoint* scale, |
| 1792 | SkPoint* rotation2) { |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1793 | |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1794 | SkScalar A = matrix[SkMatrix::kMScaleX]; |
| 1795 | SkScalar B = matrix[SkMatrix::kMSkewX]; |
| 1796 | SkScalar C = matrix[SkMatrix::kMSkewY]; |
| 1797 | SkScalar D = matrix[SkMatrix::kMScaleY]; |
| 1798 | |
commit-bot@chromium.org | 4dcd062 | 2013-07-29 14:43:31 +0000 | [diff] [blame] | 1799 | if (is_degenerate_2x2(A, B, C, D)) { |
| 1800 | return false; |
| 1801 | } |
| 1802 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1803 | double w1, w2; |
| 1804 | SkScalar cos1, sin1; |
| 1805 | SkScalar cos2, sin2; |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1806 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1807 | // do polar decomposition (M = Q*S) |
| 1808 | SkScalar cosQ, sinQ; |
| 1809 | double Sa, Sb, Sd; |
| 1810 | // if M is already symmetric (i.e., M = I*S) |
| 1811 | if (SkScalarNearlyEqual(B, C)) { |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1812 | cosQ = 1; |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1813 | sinQ = 0; |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1814 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1815 | Sa = A; |
| 1816 | Sb = B; |
| 1817 | Sd = D; |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1818 | } else { |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1819 | cosQ = A + D; |
| 1820 | sinQ = C - B; |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1821 | SkScalar reciplen = SkScalarInvert(SkScalarSqrt(cosQ*cosQ + sinQ*sinQ)); |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1822 | cosQ *= reciplen; |
| 1823 | sinQ *= reciplen; |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1824 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1825 | // S = Q^-1*M |
| 1826 | // we don't calc Sc since it's symmetric |
| 1827 | Sa = A*cosQ + C*sinQ; |
| 1828 | Sb = B*cosQ + D*sinQ; |
| 1829 | Sd = -B*sinQ + D*cosQ; |
| 1830 | } |
skia.committer@gmail.com | 5c561cb | 2013-07-25 07:01:00 +0000 | [diff] [blame] | 1831 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1832 | // Now we need to compute eigenvalues of S (our scale factors) |
| 1833 | // and eigenvectors (bases for our rotation) |
| 1834 | // From this, should be able to reconstruct S as U*W*U^T |
jvanverth@google.com | 25f72ed | 2013-09-03 19:46:16 +0000 | [diff] [blame] | 1835 | if (SkScalarNearlyZero(SkDoubleToScalar(Sb))) { |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1836 | // already diagonalized |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1837 | cos1 = 1; |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1838 | sin1 = 0; |
| 1839 | w1 = Sa; |
| 1840 | w2 = Sd; |
| 1841 | cos2 = cosQ; |
| 1842 | sin2 = sinQ; |
skia.committer@gmail.com | 85092f0 | 2013-09-04 07:01:39 +0000 | [diff] [blame] | 1843 | } else { |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1844 | double diff = Sa - Sd; |
| 1845 | double discriminant = sqrt(diff*diff + 4.0*Sb*Sb); |
| 1846 | double trace = Sa + Sd; |
| 1847 | if (diff > 0) { |
| 1848 | w1 = 0.5*(trace + discriminant); |
| 1849 | w2 = 0.5*(trace - discriminant); |
| 1850 | } else { |
| 1851 | w1 = 0.5*(trace - discriminant); |
| 1852 | w2 = 0.5*(trace + discriminant); |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1853 | } |
skia.committer@gmail.com | 85092f0 | 2013-09-04 07:01:39 +0000 | [diff] [blame] | 1854 | |
jvanverth@google.com | 25f72ed | 2013-09-03 19:46:16 +0000 | [diff] [blame] | 1855 | cos1 = SkDoubleToScalar(Sb); sin1 = SkDoubleToScalar(w1 - Sa); |
commit-bot@chromium.org | 0b9ada1 | 2014-01-30 22:13:12 +0000 | [diff] [blame] | 1856 | SkScalar reciplen = SkScalarInvert(SkScalarSqrt(cos1*cos1 + sin1*sin1)); |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1857 | cos1 *= reciplen; |
| 1858 | sin1 *= reciplen; |
skia.committer@gmail.com | 85092f0 | 2013-09-04 07:01:39 +0000 | [diff] [blame] | 1859 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1860 | // rotation 2 is composition of Q and U |
| 1861 | cos2 = cos1*cosQ - sin1*sinQ; |
| 1862 | sin2 = sin1*cosQ + cos1*sinQ; |
skia.committer@gmail.com | 85092f0 | 2013-09-04 07:01:39 +0000 | [diff] [blame] | 1863 | |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1864 | // rotation 1 is U^T |
| 1865 | sin1 = -sin1; |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1866 | } |
| 1867 | |
bsalomon | 49f085d | 2014-09-05 13:34:00 -0700 | [diff] [blame] | 1868 | if (scale) { |
jvanverth@google.com | 25f72ed | 2013-09-03 19:46:16 +0000 | [diff] [blame] | 1869 | scale->fX = SkDoubleToScalar(w1); |
| 1870 | scale->fY = SkDoubleToScalar(w2); |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1871 | } |
bsalomon | 49f085d | 2014-09-05 13:34:00 -0700 | [diff] [blame] | 1872 | if (rotation1) { |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1873 | rotation1->fX = cos1; |
| 1874 | rotation1->fY = sin1; |
| 1875 | } |
bsalomon | 49f085d | 2014-09-05 13:34:00 -0700 | [diff] [blame] | 1876 | if (rotation2) { |
commit-bot@chromium.org | 5b2e264 | 2013-09-03 19:08:14 +0000 | [diff] [blame] | 1877 | rotation2->fX = cos2; |
| 1878 | rotation2->fY = sin2; |
commit-bot@chromium.org | 08284e4 | 2013-07-24 18:08:08 +0000 | [diff] [blame] | 1879 | } |
| 1880 | |
| 1881 | return true; |
| 1882 | } |
reed | 71c3c76 | 2015-06-24 10:29:17 -0700 | [diff] [blame] | 1883 | |
| 1884 | ////////////////////////////////////////////////////////////////////////////////////////////////// |
| 1885 | |
| 1886 | void SkRSXform::toQuad(SkScalar width, SkScalar height, SkPoint quad[4]) const { |
reed | ca10953 | 2015-06-25 16:25:25 -0700 | [diff] [blame] | 1887 | #if 0 |
| 1888 | // This is the slow way, but it documents what we're doing |
reed | 71c3c76 | 2015-06-24 10:29:17 -0700 | [diff] [blame] | 1889 | quad[0].set(0, 0); |
| 1890 | quad[1].set(width, 0); |
| 1891 | quad[2].set(width, height); |
| 1892 | quad[3].set(0, height); |
| 1893 | SkMatrix m; |
| 1894 | m.setRSXform(*this).mapPoints(quad, quad, 4); |
reed | ca10953 | 2015-06-25 16:25:25 -0700 | [diff] [blame] | 1895 | #else |
| 1896 | const SkScalar m00 = fSCos; |
| 1897 | const SkScalar m01 = -fSSin; |
| 1898 | const SkScalar m02 = fTx; |
| 1899 | const SkScalar m10 = -m01; |
| 1900 | const SkScalar m11 = m00; |
| 1901 | const SkScalar m12 = fTy; |
| 1902 | |
| 1903 | quad[0].set(m02, m12); |
| 1904 | quad[1].set(m00 * width + m02, m10 * width + m12); |
| 1905 | quad[2].set(m00 * width + m01 * height + m02, m10 * width + m11 * height + m12); |
| 1906 | quad[3].set(m01 * height + m02, m11 * height + m12); |
| 1907 | #endif |
reed | 71c3c76 | 2015-06-24 10:29:17 -0700 | [diff] [blame] | 1908 | } |